Recursive Sequences

Learning Objectives
1) Define Recursive Sequences
2) Reindex a recursive sequence
3) Find an explicit formula given a recursive sequence
4) Substitute an explicit formula for a sequence into a recursive one to verify that it is correct
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[@eminad.1977]

You‘re by far the best teacher I could find on UA-cam! Thank you a lot for your effort!🙏🏽

[@MsAsim123456]

Perfect study resource for my midterm! Thank you!

[@jeremyandy8330]

InstaBlaster

[@ramyhuber8392]

Really enjoyed this one, learned a lot. Liked the change to explicit formula and verification a lot because it was a different way of conceptualizing y as a function of x in algebra and graphs of functions.

[@abdullahyousef3596]

Thank you for this great explanation.

[@juntizon7182]

Thanks for this. Very helpful!

[@prodbyCheez]

when he when he added the 3 to (k-2+1) how does it go from (k-2)+3 to (k-2+1)?

[@_Amnesiac_]

Wondering the same thing

[@michaelstearns8505]

You’re missing the 3 in front of the parenthesis ... it goes from 3(k-2)+3 to 3(k-2+1), since 3 * 1 = 3 using the distributive law. Hope this helps!

[@samuelpeter8763]

@@michaelstearns8505 5 months later blah blah blah hope this helps. lol

[@allenvallentes1338]

how does this manipulation work?

[@abdullahyousef3596]

@@allenvallentes1338 It is just like taking the factor of 3 by 3 like 3/3 = 1 which he added +1.

[@mattryan6832]

Is it fine to write sub k = 1 + (3 * k) for every k >= 0 instead of what your example in the video?

[@continnum_radhe-radhe]

Thank you so much sir ❤️🔥❤️

[@kaikleinbard7544]

Thank you - very helpful

[@wm111100]

Thank you so much!

[@bipulshrestha4157]

great video

[@Sathya-c2h]

From around 6:28
we know, ak = ak-1 + 3 for k>1
we can reorder this: ak -1 = ak - 3 --------(a)
Currently, ak = 1+3(k-1)
now change k to k-1
ak-1 = 1+3((k-1)-1)
sub (a)
ak - 3 = 1+3(k-2)
ak = 1+3(k-2)+3
Thats the last value.

[@shubhamsatyaprakash54]

Hey how you make these kind of videos make a video on this

[@shubhamsatyaprakash54]

By the way very cool videos and your style of communication is very impressive and full of confidence

[@davethesid8960]

Could someone please help me find the explicit form of the recursive sequence: a_n=3a_(n-1)+2? It's very important for me right now, thanks!

[@fishyfishy1656]

Did you find it?

[@davethesid8960]

@@fishyfishy1656 Yes.

[@wellbeing1539]

how to you make these videos

[@BlackCodeMath]

Wow.

[@LocalHost7684]

why do you look like Doctor strange ?

[@continnum_radhe-radhe]

Yesss!!!!