Thank you very much for sharing this video. I appreciate your efforts in assisting us in comprehending such a lesson. I'm looking forward to seeing more tutorials.
Thank you for the great lesson that you give sir, thank you for helping us and explaining clearly for this topic sir we appreciate your effort God bless and thank you.
Good Day Sir! Thank you for this video discussion about Binet's Formula in Fibonacci sequence. It is well-explained and I really learned a lot. God Bless. Be well and smile!
Hello sir good day Thank you for your efforts in order to teach us sir. Very much appreciated. Thank you for another lesson. Thank you for explaining well sir. GodBless Morepower to your youtube channel sir
The video is very informative Sir! I learned a lot about Fibonacci sequence and the golden ratio, kudos to you sir. Looking forward to your next vids. God Bless!
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Thank you making and sharing your knowledge about Fibonacci and Golden ratio to us, sir. I really appreciate your effort in making this video. May God bless you always, more power and keep safe!
Thank you for the very informative discussion sir. It gave me some learnings about the Fibonacci, especially of the history. I hope for more video discussion, sir. Thank you once again!
A pleasant day sir, I'm very thankful for the lesson which refreshed my knowledge about the different sequences and aspects sir. Thank you again sir and Godbless
Thank you very much share for this another knowledge again that you shared to us. Your efforts are highly appreciated, again thank you for this educational vlog I learned a lot. God bless.
Thank you so much sir for discussing Fibonacci Sequence and The Golden Ratio mucha appreciated for we've Understand the topic and hoping to apply it in the future
Sir thank you for discussing this with us! It gave me a better understanding of the fibonacci sequence. I appreciate you taking the time to make this video for us. Godblessyou!
Thank you for this another video lecture sir! Well discussed and you made it very understandable in discussing this topic about the nature of Fibonacci sequence. Thank you for your efforts sir! Highly appreciated!
Thank you so much Sir for helping us out with our academic admidst this pandemic. The topic are very well explained and understandable. I am grateful with the knowledge I'm earning from this content about " FIBONACCI SEQUENCE AND THE GOLDEN RATIO".Thank you Sir. KUDOS AND GODBLESS YOU SIR SALIGAN!
Good day sir! I appreciate your time and effort making this video. I really understand the topic. Thank you so much and God bless. Looking forward for the next video sir. Keep safe always
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Good day sir... Thank you for this discussion. We learned a lot from this video and I hope you will never get tired to discuss more lesson. We learned from this discussion Fibonacci using easy way and I'm very thankful to to compute Fibonacci in manual way and also using the formula. Thank you and God bless you ❤️
Good day Sir! Your lectures or pre-recorded videos have helped me tremendously. Your teaching style is clean and easy to follow. I like the way you explain the topics so well and coherently. You make difficult concepts easy to understand especially on this topic about Fibonacci sequence and golden ratio. I really appreciate your way of teaching. Thank you so much Sir and God bless!
Thank you sir for discussing us this lesson, I never encountered this lesson before but it seems familiar. Thank you for giving me this opportunity to learn this lesson. Thank you and god bless ;)
Thank you so much, Sir, for providing us a well-discussed lesson about the Fibonacci sequence. We really appreciate your efforts in making this video. God Bless and I'm looking forward on your next content.
Good day sir! Thank you so much for this very understandable video lesson. This video refresh my knowledge about the Fibonacci sequence. But only refresh, it also add more knowledge that I need to learn. I gain more about this topic. Hoping that you will continue imparting your knowledge to us sir. Thank you and Godbless!✨
Good Day Sir, for this topic which is Fibonacci Sequence and the Golden Ratio in which it was explained it well sir thanks for the effort.... Always stay safe and God Bless sir
Good day Sir! Thank you for the informative discussion. I'm learning from this topic. Manual computation is way easier when one understands the given formula (of Fibonnaci and Golden Ratio). Looking forward to learn the next topic Sir. God bless and be safe!
Thank you for your hard work and doing your best for us to understand the topic and to apply it in the future exams and oral recitations. God Bless you always sir keep safe
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This video is really a great help for students like me to easily understand this topic sir. Thank you for your efforts and may god always bless you sir.
Thank you so much, Sir for the well explained discussion . I really appreciate the time and effort you put into making this video. I am looking forward to watch more tutorial videos from you , Sir. God bless!
Sir, thank you for this, as well as for another well-discussed topic! Not only have I learned how to compute, but I've also learned a little about the history of Fibonacci. God bless you always and keep safe! ❤️
Sir, thank you for your thorough explanation of the topic. This helped me understand the content as a visual and auditory learner. Sir, I eagerly await more videos!
Thank you for the detailed discussion sir. I had heard the fibonacci sequence before and I'm quite having difficulties in understanding the problems but now as I watched your vlog, I can now answer it easily as there are examples that you provide and you explained it clearly.❤💕
Good day, sir. The Fibonacci Sequence & Golden Ratio topic 14 is very interesting to watch. It provides me with information, and obtaining the correct answer necessitates a thorough calculation. Sir, thank you so much for putting in so much effort in this video. God bless you.
Good day Sir! Thank you so much for providing us a well-discussed lesson about the Fibonacci sequence. We really appreciate your efforts in making this video.
The video achieved its goal of imparting knowledge on the subject. It was fantastic that it included an actual word problem with application in a real-life situation. There isn't much to say because it has always been informative, as was always expected. Thank you, Sir, and God bless you.
Thank you so much for sharing this video despite of the challenging time we have nowadays. I am grateful for your efforts and appreciate the length you go to teach a complicated lesson into a simple one. Looking forward to more tutorials! Answers to Try This section: F35= 9,227,465 F50= 12,586,269,025
Greetings to you, Sir. Fibonacci sequence was already taught in my former years, however, I did not know that there is such a formula for finding the nth term of the sequence. The material that you've shared was well informative. Your concrete explanation made me to understand the content. In addition, your way of teaching were so commendable. I would love to see more videos of you, sir. Cliche already but, thank you and be well.
Thank u so much sir with this video about fibonacci sequence, it made me understand what fibonacci sequence is. God bless you sir and hoping for more videos like this.
Good day, Sir! Thank you for the interesting discussion. I truly appreciate the time and effort you exerted to make this video for us. I'm looking forward to learning more educational videos from you. God bless!
Good Day Sir. Thank you very much for a well-delivered discussion. I appreciate all the efforts you put in creating this video discussion. The examples provided were also helpful to understand the lesson. And, here are my answers for the try this activity. God Bless you Sir! • F35= 9,227,465 • F50= 12,586,269,025
The video is well-explained and it has a lot of information that I may use for future purposes. The topic was familiar to me since it was already discussed by our high school teacher/s but still I’m having a trouble understanding it. After seeing this video lecture, I found the topic easy and very understandable. Thank you sir.
Thank you so much, Sir, for providing us a well-discussed lesson about the Fibonacci sequence. We really appreciate your efforts in making this video. God Bless and more power!
Thank you for explaining the topics thoroughly, Sir! As a visual and auditory learner, this helped me comprehend the topic best. I am able to answer the exercises well. Looking forward for more, Sir!
We appreciate the video discussions, sir. We value the work you put into creating these videos for our learning. I've actually learned a lot from the examples you've provided. Thank you so much sir!
Thank you so much, Sir, for giving us such a thorough explanation of the Fibonacci sequence. We are grateful for your efforts in creating this video. God bless you, and keep safe!
Anything related to the Fibonacci sequence is something that I have fun learning about because of how it is integrated into our everyday lives. This video has helped me gain a substantial amount of information regarding the Fibonacci sequence and I can't thank you enough. Timothy Brylle C. Salise BSME-1A
The golden ratio quite picked my interest and it is very fascinating to know that such formula exists. Thank you, Sir, for sharing this lesson. God bless and keep safe. 🖤
I finally understood about Fibonnaci and Golden ratio because of your very informative video. Thanks for the effort, Sir!
I was struggling in this topic at first but by listening and analyzing your discussion made it possiblw for me to learn it. Thank you so much Sir!
Thank you sir for another educational video! God Bless you, sir! Be well.
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Thank you for this informative video discussion sir. Looking forward to your next videos. Be well!
Thank you for the great lesson that you give sir, thank you for helping us and explaining clearly for this topic sir we appreciate your effort God bless and thank you.
Good day sir. Thankyou for this another informative video. Your efforts are highly appreciated. Godbless
Good Day Sir! Thank you for this video discussion about Binet's Formula in Fibonacci sequence. It is well-explained and I really learned a lot. God Bless. Be well and smile!
Hello sir good day
Thank you for your efforts in order to teach us sir. Very much appreciated. Thank you for another lesson. Thank you for explaining well sir.
GodBless
Morepower to your youtube channel sir
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Looking forward to your next vids.
God Bless!
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Thank u sir , u save me ✨✨
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Thank you making and sharing your knowledge about Fibonacci and Golden ratio to us, sir. I really appreciate your effort in making this video. May God bless you always, more power and keep safe!
Thank you Sir! for this informative and well explained lesson.
Thank you for the very informative discussion sir. It gave me some learnings about the Fibonacci, especially of the history. I hope for more video discussion, sir. Thank you once again!
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A pleasant day sir, I'm very thankful for the lesson which refreshed my knowledge about the different sequences and aspects sir. Thank you again sir and Godbless
Thank you very much share for this another knowledge again that you shared to us. Your efforts are highly appreciated, again thank you for this educational vlog I learned a lot. God bless.
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Thank you so much sir for discussing Fibonacci Sequence and The Golden Ratio mucha appreciated for we've Understand the topic and hoping to apply it in the future
Sir thank you for lecturing about Fibonacci sequence..
It's really helpful to us ..
God bless 🙏
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Sir thank you for discussing this with us! It gave me a better understanding of the fibonacci sequence. I appreciate you taking the time to make this video for us. Godblessyou!
The Fibonacci sequence and golden ratio are quite interesting. Thank you so much sor for the discussion. Have a good day! God bless and be well!
Thank you for this another video lecture sir! Well discussed and you made it very understandable in discussing this topic about the nature of Fibonacci sequence. Thank you for your efforts sir! Highly appreciated!
Thank you so much Sir for helping us out with our academic admidst this pandemic. The topic are very well explained and understandable. I am grateful with the knowledge I'm earning from this content about " FIBONACCI SEQUENCE AND THE GOLDEN RATIO".Thank you Sir. KUDOS AND GODBLESS YOU SIR SALIGAN!
Good day sir! I appreciate your time and effort making this video. I really understand the topic. Thank you so much and God bless. Looking forward for the next video sir. Keep safe always
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Thank you sir, I learned well on how to use the Fibonacci Sequence and the Golden Ratio.
Good day sir... Thank you for this discussion. We learned a lot from this video and I hope you will never get tired to discuss more lesson. We learned from this discussion Fibonacci using easy way and I'm very thankful to to compute Fibonacci in manual way and also using the formula. Thank you and God bless you ❤️
Thank you Sir for your efforts in making this video. This is a big help for us to learned more about Fibonacci.
Good day Sir! Your lectures or pre-recorded videos have helped me tremendously. Your teaching style is clean and easy to follow. I like the way you explain the topics so well and coherently. You make difficult concepts easy to understand especially on this topic about Fibonacci sequence and golden ratio. I really appreciate your way of teaching. Thank you so much Sir and God bless!
Another interesting topic sir. Thank you for the video ❤️
Thank you sir for discussing us this lesson, I never encountered this lesson before but it seems familiar. Thank you for giving me this opportunity to learn this lesson. Thank you and god bless ;)
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Thank you sir for this new topic.The fibonacci sequence and golden ratio are quite interesting and fun. Have a good day sir!
Thank you so much, Sir, for providing us a well-discussed lesson about the Fibonacci sequence. We really appreciate your efforts in making this video. God Bless and I'm looking forward on your next content.
Good day sir! Thank you so much for this very understandable video lesson. This video refresh my knowledge about the Fibonacci sequence. But only refresh, it also add more knowledge that I need to learn. I gain more about this topic. Hoping that you will continue imparting your knowledge to us sir. Thank you and Godbless!✨
Thank you for the understandable discussion, Sir. This video makes the topic look easy. Your hard work is highly appreciated, Sir.
Good Day Sir, for this topic which is Fibonacci Sequence and the Golden Ratio in which it was explained it well sir thanks for the effort.... Always stay safe and God Bless sir
Good day Sir! Thank you for the informative discussion. I'm learning from this topic. Manual computation is way easier when one understands the given formula (of Fibonnaci and Golden Ratio). Looking forward to learn the next topic Sir. God bless and be safe!
Thank you for your hard work and doing your best for us to understand the topic and to apply it in the future exams and oral recitations. God Bless you always sir keep safe
Thank you for discussing the topic informatively sir. ❤️
Sir, good day! Thank you for the informative discussion. This topic has taught me a lot. Sir, I'm looking forward to learning about the following topic. God bless you and keep you safe!
This video is really a great help for students like me to easily understand this topic sir. Thank you for your efforts and may god always bless you sir.
Sir thank you for this knowledgeable video, It gave us a better understanding about this topic sir!!!. Rooting for your next video sir!!
Good day sir! Thank you for for this another topic it helps me to know more about on this certain topic.Hoping for more videos sir! 🙂
Good day Sir Saligan, Thank you sir for discussing this topic. God bless.
Sir thank you for this lesson. We'll be putting much effort into practicing the Fibonacci Sequence as you have placed effort into making this video
Good Evening sir. Thank you again for your video Sir
Thank you sir, it's a little bit hard in my jhs years but now it is well discussed and explained properly.
Thank you so much, Sir for the well explained discussion . I really appreciate the time and effort you put into making this video. I am looking forward to watch more tutorial videos from you , Sir. God bless!
Thank you for the discussion, sir. We're able to gain more knowledge about Fibonacci. The way you discussed the lesson is clear and accurate.
Sir, thank you for this, as well as for another well-discussed topic! Not only have I learned how to compute, but I've also learned a little about the history of Fibonacci. God bless you always and keep safe! ❤️
Thank you, Sir.
I learned a lot of things and my knowledge about this topic broaden. Such a nice discussion.
God Bless ❤️
Sir, thank you for your thorough explanation of the topic. This helped me understand the content as a visual and auditory learner. Sir, I eagerly await more videos!
Thank you for the detailed discussion sir. I had heard the fibonacci sequence before and I'm quite having difficulties in understanding the problems but now as I watched your vlog, I can now answer it easily as there are examples that you provide and you explained it clearly.❤💕
Thank you sir for discussing this lesson so thoroughly. Truly, I would use these learnings in the future😊
Good day, sir.
The Fibonacci Sequence & Golden Ratio topic 14 is very interesting to watch. It provides me with information, and obtaining the correct answer necessitates a thorough calculation. Sir, thank you so much for putting in so much effort in this video. God bless you.
Good day Sir! Thank you so much for providing us a well-discussed lesson about the Fibonacci sequence. We really appreciate your efforts in making this video.
Thank you, Sir! I learnt a lot from the discussion on Fibonacci Sequence and the Golden Ratio. God bless!
The video achieved its goal of imparting knowledge on the subject. It was fantastic that it included an actual word problem with application in a real-life situation. There isn't much to say because it has always been informative, as was always expected. Thank you, Sir, and God bless you.
Thank you so much for sharing this video despite of the challenging time we have nowadays. I am grateful for your efforts and appreciate the length you go to teach a complicated lesson into a simple one. Looking forward to more tutorials!
Answers to Try This section:
F35= 9,227,465
F50= 12,586,269,025
Thank you so much sir, what a informative discussion. I learn a lot. God bless
Thank you for clear Explaination sir
God bless
Greetings to you, Sir. Fibonacci sequence was already taught in my former years, however, I did not know that there is such a formula for finding the nth term of the sequence. The material that you've shared was well informative. Your concrete explanation made me to understand the content. In addition, your way of teaching were so commendable. I would love to see more videos of you, sir. Cliche already but, thank you and be well.
All of your contents, Sir, are truly eye-opening.
Thank you for creating this new educational video.
thank you for this sir, I really understood the topic. God Bless!
Thank u so much sir with this video about fibonacci sequence, it made me understand what fibonacci sequence is. God bless you sir and hoping for more videos like this.
Thank you for the detailed explanation about this topic sir! Looking forward for all the topic you've discussed in this channel.
Good day, Sir! Thank you for the interesting discussion. I truly appreciate the time and effort you exerted to make this video for us. I'm looking forward to learning more educational videos from you. God bless!
Good Day Sir. Thank you very much for a well-delivered discussion. I appreciate all the efforts you put in creating this video discussion. The examples provided were also helpful to understand the lesson. And, here are my answers for the try this activity. God Bless you Sir!
• F35= 9,227,465
• F50= 12,586,269,025
The video is well-explained and it has a lot of information that I may use for future purposes. The topic was familiar to me since it was already discussed by our high school teacher/s but still I’m having a trouble understanding it. After seeing this video lecture, I found the topic easy and very understandable. Thank you sir.
Thank you so much, Sir, for providing us a well-discussed lesson about the Fibonacci sequence. We really appreciate your efforts in making this video. God Bless and more power!
Thank you for explaining the topics thoroughly, Sir! As a visual and auditory learner, this helped me comprehend the topic best. I am able to answer the exercises well. Looking forward for more, Sir!
We appreciate the video discussions, sir. We value the work you put into creating these videos for our learning. I've actually learned a lot from the examples you've provided. Thank you so much sir!
Thank you sir for putting an effort into this video. We learned a lot sir.
Thank you for the thorough discussion Sir, you make us students easily understand the lesson. Kudos to your effort and God's Speed!
Thank you so much, Sir, for giving us such a thorough explanation of the Fibonacci sequence. We are grateful for your efforts in creating this video. God bless you, and keep safe!
Anything related to the Fibonacci sequence is something that I have fun learning about because of how it is integrated into our everyday lives. This video has helped me gain a substantial amount of information regarding the Fibonacci sequence and I can't thank you enough.
Timothy Brylle C. Salise
BSME-1A
The golden ratio quite picked my interest and it is very fascinating to know that such formula exists. Thank you, Sir, for sharing this lesson. God bless and keep safe. 🖤