Harmonic Sequence, Harmonic Mean and Harmonic Series

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  • Опубліковано 21 гру 2024

КОМЕНТАРІ • 113

  • @smellslikepowder5347
    @smellslikepowder5347 4 роки тому +82

    Kudos to this Teacher he's really good at emphasizing things and how he explain it is very clear and easy to understand i hope this man can keep teaching kids who feel difficult at learning their academics

  • @danapuli5052
    @danapuli5052 3 роки тому +10

    You're videos are interesting, they're easy to understand and not hard to follow. When i'm watching khan academy or organic chemistry tutor I get a little confused, so thank you for the lesson I wish you make a video about power series.

  • @patrixialara1273
    @patrixialara1273 3 роки тому +1

    Nahuhuli na kase ako sa mga lesson Kaya napunta ako dito salamat kuya na gets ko po agad

  • @SebastianPoliquit
    @SebastianPoliquit Рік тому

    Sir Pablo Thank you po bilis ko po na gets mga tinuro mo😊❤

  • @bars1763
    @bars1763 4 роки тому +6

    Sa November pa Math namin sir and I'm a grade 10 student na nagbabalak mag STEM laking tulong po ng mga video nyo for me.

  • @bangpdswifeu8586
    @bangpdswifeu8586 3 роки тому

    You're a lifesaver sir! God bless!

  • @kathdeguzman7871
    @kathdeguzman7871 4 роки тому +4

    salamat mo senior pablo ito po ung matagal ko nang hinahanap na topic.

    • @rvvg7777
      @rvvg7777 4 роки тому +1

      HI

    •  4 роки тому +3

      welcome Kath
      pashare din sa classmates mo ha

    • @rvvg7777
      @rvvg7777 4 роки тому +3

      @ OK PO

    • @barang73
      @barang73 4 роки тому

      Hi kath! Taga Lapu-Lapu City ka? Rudinas?

    • @kathdeguzman7871
      @kathdeguzman7871 4 роки тому +1

      @@barang73 ndi tga cebu ako cebuhay mo ayieee lalake ako user name ko lang ang kath.

  • @ernestogaddi8021
    @ernestogaddi8021 Рік тому

    Thank you, Sir. God bless!

  • @JoLoabiarneza928
    @JoLoabiarneza928 2 місяці тому

    Best teacher❤

  • @MARK2MONTELIBANO
    @MARK2MONTELIBANO 4 роки тому

    Happy 112k subcriber sir dati huling abot ko mga 48k siguro ngayon nandito napo kayo madami napong sumosuporta sainyo keep it up.❤️💪

  • @maikahbucay895
    @maikahbucay895 3 роки тому +14

    Good evening sir, your an excellent teacher sir but, can i ask you about the 2nd example you've discussed? where did you get the -1/5? (Problem: 2. Find the 5th term of the harmonic sequence if A sub 2 = -2/9 and A sub 7 = - 1/2)

    • @paulineannearagon3483
      @paulineannearagon3483 3 роки тому +1

      It is to cancel the coefficient in the d so you have to divide it by -1/5 since we are finding the value of d

    • @godismyalmightykingforever3815
      @godismyalmightykingforever3815 2 роки тому +3

      Hello sir😊
      I think there is a mistake in example number 2 because (the 5th term or A sub 5 =-7/18) therefore, the 5th term in the harmonic sequence is equal to -18/7.
      👉here is my solution sir plss correct me if I'm wrong😊
      first i get the common difference(d):
      A sub 7 = (A sub 2) + 5d
      -1/2 = -2/9 + 5d
      -1/2+2/9 = 5d
      -5/18=5d
      (-5/18)÷5= (5d)÷5 😁we need to divide both side by 5 para macancel iyong 5 na kasama ni d(common difference) upang iyong d nalang ang matitira sa kabila
      -1/18=d🤗
      since, i already got the d
      let's find the 5th term
      A sub 5= (A sub 2) + 3d
      = -2/9 + 3(-1/18)
      = -2/9 + (-3/18)
      = -7/18 then i get the 5th term in the harmonic sequence by getting the reciprocal of it, -18/7👈

  • @jennilyndeguzman6694
    @jennilyndeguzman6694 4 роки тому +2

    Thank you po sir❤. Sana po sa next topic ano naman po SOLVE PROBLEMS IN A SEQUENCE. Salamat po ulet😊

  • @roanlancereyes4610
    @roanlancereyes4610 4 роки тому

    You really Are A Blessing to out Country Thanks u🥺😊💞

  • @ersellmpinones6533
    @ersellmpinones6533 2 роки тому

    Excuse me sir in the ex. No.2 of a harmonic sequence Y is in that in the solution
    5/2=5 why did the 5 or 5/1 was made into a receprocal

  • @godrush6256
    @godrush6256 3 роки тому +1

    nandri solla ennaka vartha ila ......
    romba thanks nanba 👍👍👍👍

  • @alyssamartin929
    @alyssamartin929 Рік тому

    Tysm for this Sir your videos are very helpful 🥰😁

  • @kinah23
    @kinah23 3 місяці тому

    Bat po naging 120 yung lcd? 23:32

  • @11proga-tano61
    @11proga-tano61 3 роки тому

    Hey sir do we reall need to get the a sub 2 to find the a sub 1?

  • @irinaarts6230
    @irinaarts6230 2 роки тому +1

    I can't understand why 6 in 7th term? Can you please elaborate🙂

    • @alphagaming2phstudios317
      @alphagaming2phstudios317 Рік тому

      i guess it is because he forgot to put (n-1) on the formula, and why 6? it is because asub7 = asub1 + (7-1) 6d
      same goes for the first equation : asub2 = asub1 + (2-1) d. why d only? because 2-1 = 1, and 1 is not supposed to be on the side of variables, so that's why 1 became d (same goes for other variables)
      remember that the formula for arithmetic sequence is always :
      asubn = asub1 + (n-1) d
      keep on learning : )

  • @mielmarieltupaz8966
    @mielmarieltupaz8966 2 роки тому +3

    Hi sir!tanong lang po,bakit 120 po yung LCD sa harmonic series?paano mo po yun nakuha?

  • @abygailjanemirandilla7672
    @abygailjanemirandilla7672 3 роки тому +4

    Hello, sir. I like your videos and you're such a good teacher! But I just wanna ask where did you get the -1/5 in your second example where you're subtracting the equation?? Thank you so much.

    • @barabibombbomb
      @barabibombbomb 3 роки тому

      Reciprocal ata nung -5 sa -5d Kaya -⅕.

    • @just.heartt
      @just.heartt 3 роки тому +3

      MPE, para matira ung (d) at malaman mo na ung value nun. Para matira ung variable, need mo imultiply un sa reciprocal niya. For ex. ung 7d, reciprocal ng 7 is 1/7, kapag nagmultiply sila 1d ang sagot or d. Dapat mong imlutiply sa equation is ung reciprocal ng number na katabi ng variable ng need mong value. Tapos siyempre imultiply mo rin ung kabilang part ng eq.

  • @razorthecashier1307
    @razorthecashier1307 4 роки тому

    Can someone help me to how to solvequadratic inequalities
    x² + 18 ≤ -11x
    Pls

  • @ashleydelacruz7789
    @ashleydelacruz7789 2 роки тому

    abt the sum of h, how po naging 120 ung lcd if plus, i have tried to multiply them pero mataas masyado so im confused pano naging 120

  • @klein_8884
    @klein_8884 2 роки тому

    Excuse me, Sir. I just want to ask about the example number 1 in the Harmonic Mean, the "2 (3) (3/7)" part. You said the answer was 21/7, right? But how did you get that, Sir? I do not want to sound offensive, but...
    2×3= 6
    6×7= 42
    42-3= 39
    I am just a bit confused, Sir.

  • @milkstrawberry3301
    @milkstrawberry3301 3 роки тому

    hello sir. can i ask u what this mean "how many multiples of a given number between two given numbers"

  • @leahdeduyo9045
    @leahdeduyo9045 2 роки тому

    Sana po may tutorial kayo ng measure of position (grouped data) 😄galing nyo po mag turo Sir 👍❤️

  • @buningaldeajovan7528
    @buningaldeajovan7528 4 роки тому

    Sana ol magaling sa math😭🥺 pero salamat narin sayo sir kasi medyo na intindihan ko yung lesson namin😅❤️ BTW ang galing niyo sa math

  • @jcreyes3295
    @jcreyes3295 3 роки тому +1

    Paano po naging 120 common denaminator? dunsa harmonic series?

  • @nathanielfroigadores567
    @nathanielfroigadores567 4 роки тому +3

    Thank you sir♥️🤟

    •  4 роки тому +1

      welcome
      pashare din sa classmates ha

  • @giandumlao8140
    @giandumlao8140 3 роки тому +1

    question po paano mahanap yung lcd?

  • @paulomatillano
    @paulomatillano 4 роки тому

    Thank you, Sir.

  • @delapenaseanmikkoe.2055
    @delapenaseanmikkoe.2055 2 роки тому

    Sir bakit po 120 ang lcd?

  • @itsjeremy109
    @itsjeremy109 2 роки тому

    Hello sir pano mopo nakuha ang 120 as LCD po?

  • @ashleya458
    @ashleya458 3 роки тому

    sir. can I ask where did you get the 120? I didn't get it po

  • @nikki4020
    @nikki4020 3 роки тому +1

    Can I ask, kung ang hinahanap po ay common difference ng harmonic sequence, kailangan po bang i-reciprocal ng sagot?

  • @nottonerii
    @nottonerii 2 роки тому

    sir pablo sanyo po nakuha yung -1/5 8:16

  • @carviedanseco216
    @carviedanseco216 4 роки тому +1

    Thank you so muchhh sirrr

  • @bernarddelizo1342
    @bernarddelizo1342 3 роки тому

    thank you po sir!

  • @Kennychanxd
    @Kennychanxd 2 роки тому

    sarap ng tulog ko dito

  • @ritavaughnkevin_bsism_3b486
    @ritavaughnkevin_bsism_3b486 3 роки тому +1

    Present sir❤️

  • @histranger4165
    @histranger4165 4 роки тому +4

    Hi sir! Congrats po sa 100k subs!! 🥰😭🥺🌸⭐️nasa 2nd quarter na po kasi ako and lesson ko pa direct variation ask ko lang for clarifications. What if hindi sinabe nung equation kung nasaan dun yung x or y na value para hanapin yung constant of variation ano po gagawin ko?
    Sana makita niyo po ito. THANK YOU PO!!!
    Example: if 5 pencils cost ₱75, find the cost of 25 pencils.
    (formula) y=kx san po diyan ang x at y??

  • @johndavidabad1578
    @johndavidabad1578 4 роки тому +1

    can you make a video about linear equation??

  • @ryanleron192
    @ryanleron192 4 роки тому

    Baka boss Pablo yan💗

  • @danielynsulit9725
    @danielynsulit9725 4 роки тому +1

    ang gandanaman

  • @dosdinlayan1624
    @dosdinlayan1624 4 роки тому

    Thank you sir❤️

  • @schynelopez582
    @schynelopez582 3 роки тому

    13:05 sana all nahahanap yung value uy

  • @al-emierong7907
    @al-emierong7907 2 роки тому

    keep it up sir

  • @girafyandlionel7678
    @girafyandlionel7678 4 роки тому +1

    23:40 Pano nakuha ung 120

  • @jc-bq6pn
    @jc-bq6pn 4 роки тому

    Thank you sir

  • @chaidumasis4125
    @chaidumasis4125 3 роки тому +2

    sir? request po ng tutorial para sa fibonacci sequence, thank you po

    •  3 роки тому

      meron napo

  • @alfredobautista1355
    @alfredobautista1355 4 роки тому

    Thank you sou much po

  • @notsofriendlyneighborcat6030
    @notsofriendlyneighborcat6030 2 роки тому

    What to do if walang common difference

  • @ishytrishy352
    @ishytrishy352 3 роки тому

    I'm learning math at 1:07 in the morning

  • @joannareyes4909
    @joannareyes4909 3 роки тому +1

    anggaling niyo po sir pero pano po nakuha yung lcd na 120 sa harmonic series po tanong lang. naguguluhan po kase ako e. salamat po sa sasagot

    • @barabibombbomb
      @barabibombbomb 3 роки тому

      For the denominators (2, 4, 6, 8, 10) the least common multiple (LCM) is 120.
      Therefore, the least common denominator (LCD) is 120.

  • @jjonnto
    @jjonnto 4 роки тому

    sir pano po naging 120 yung LCD

    • @gamerz5968
      @gamerz5968 4 роки тому

      same question

    • @nomask7512
      @nomask7512 3 роки тому

      Same too. I wanna know the answer how sir gets 120.

    • @kylepascual8568
      @kylepascual8568 3 роки тому

      If you can see i think 2+10 = 12 and 4+8= 12 i think he add 0 kaya nya nakuha yung 120 tama ba?

    • @jumbohotdog4215
      @jumbohotdog4215 3 роки тому +2

      Least common denominator po ng 2,4,6,8,10 para po makuha yung 120 mag iiskip count kapo seperately per number hanggang mag kamuka napo lahat sila

  • @jeninedawa
    @jeninedawa 4 роки тому +3

    THANKYOUUUU SIR!!! pogi mo huhu pa accept po sa FB hehe GODBLESS POOOO!!!💗💘

    • @jeninedawa
      @jeninedawa 4 роки тому +1

      THANKYOUUUU SIR SA ACCEPT💛💛💛💛💛💛

    •  4 роки тому +1

      @@jeninedawa na accept kona ata Jenine

  • @yuhwhodis725
    @yuhwhodis725 3 роки тому

    huhu ikaw nalang sana teacher namim

  • @wakzcadiz33
    @wakzcadiz33 3 роки тому

    How to find the nth term for harmonic sequence me ganun po kasing word problem sa book kopo nag hahanda ako para sa exam ko this comming tuesday

  • @marckevinkalagayan3992
    @marckevinkalagayan3992 4 роки тому

    anong grade po ito sir

  • @Itsmecairi
    @Itsmecairi Рік тому

    👏👏👏

  • @DeveloperAdri
    @DeveloperAdri 3 роки тому

    panoi nakuha yung -1/5 wtf

  • @princessacorio8438
    @princessacorio8438 4 роки тому +1

    thank you!!

    •  4 роки тому

      welcome princess

  • @florencefernando8598
    @florencefernando8598 4 роки тому

    I wish u we're our teacher rn:(((

  • @kimnarayvonne821
    @kimnarayvonne821 4 роки тому

    senior pablo nahihirapan po ako sa factoring quadtric trinomial d ko po sya magets pwede po gumawa po kayo ng tutorial doon ? ni recommend ka po ng classmate ko eh kaya po lumapit na lang po ako sa channel na to po

  • @janejuancho9731
    @janejuancho9731 4 роки тому

    Sir gawa din kayo video.para sa pendulum

  • @frederickbalino7653
    @frederickbalino7653 4 роки тому

    Sir sunod po dapat tagalog Yung pag papaliwanag hehehehehe

  • @kanserpoako1223
    @kanserpoako1223 7 місяців тому

    Pang 11 ko na 'to sa playlist na jusko makakalimutin na yata ako pero yung mga formula sa arithmetic, geometric, at harmonic ay hindi ko maalala kung naituro ba TT

  • @unworthyarcher
    @unworthyarcher 4 роки тому

    SIR PAREQUEST NAMAN PO NG RATIONAL ROOT THEOREM, TYIA. ㅠ__ㅠ

  • @r0de_eracfan
    @r0de_eracfan 2 роки тому

    ayoko na😭😭😭😭

  • @MARK2MONTELIBANO
    @MARK2MONTELIBANO 4 роки тому

    Sir baka pwede po paruro nung sa Polynomial Equations And Functions po.

  • @ainahdangcal5605
    @ainahdangcal5605 4 роки тому

    Sunod naman po how to get domain and range of a piecewise fucntion

  • @firmalinojohnmartin7383
    @firmalinojohnmartin7383 2 роки тому +2

    may mga di ako magets, what if sukuan nlng nating lahat ang math tapos build build nlng ng space ship mag migrate sa pluto

    • @hxisee534
      @hxisee534 2 роки тому +1

      omsim bai kaso kaylangan ng math ang pag build nang spaceship

  • @joshuafigueroa1757
    @joshuafigueroa1757 3 роки тому

    Minsan iniisip ko kung gagamitin ko toh pag naging bumbero ako 😥

  • @krizzalynconstefalco9487
    @krizzalynconstefalco9487 4 роки тому

    Ano po kaya yung formula ng harmonic series? Hehe. Salamat po! 💚

  • @lollol-qu3ss
    @lollol-qu3ss 3 роки тому

    patulong naman po....
    Find the indicated term for the harmonic sequence a5=3/4, a9=3/13 [second term]

  • @rayangelotasic7576
    @rayangelotasic7576 3 місяці тому

    Sir

  • @sidenblack3601
    @sidenblack3601 4 роки тому

    Cute mo sir hahahahha

  • @PBTV19
    @PBTV19 Рік тому +1

    Ang gulo mag turo haaa

  • @dampingansurigaonon3000
    @dampingansurigaonon3000 4 роки тому +1

    SUGGEST: GRADE 8 (FACTORING PERFECT SQUARE TRINOMIALS AND GENERAL TRINOMIALS) HIRAP EHH SIR PLSS SIR NEED NG TEAM KO YUNG LESSON

  • @ruthlynmorante2983
    @ruthlynmorante2983 4 роки тому

    Paano po sir kung nth term lang po ang hinahanap...pls po sir mag bigay po kayo ng ex.nalilito po kasi ako ehh

  • @ad_az3211
    @ad_az3211 2 роки тому +5

    Please, master the lesson first so that the students would easily get what you're teaching. I can see you're having a hard time explaining the lesson.

    • @lhevyelford7444
      @lhevyelford7444 2 місяці тому +1

      Wdym, it's fine with me- sounds like you're the one having trouble understanding him

    • @justevenwhy
      @justevenwhy 2 місяці тому +1

      First nood plang gets ko na di ka lang nag focus maigi at mag notes ka