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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YOUR TURN! Learning math requires more than just watching math videos, so make sure you reflect, ask questions, and do lots of practice problems!
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[eminad.]

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

[MsAsim]

Perfect study resource for my midterm! Thank you!

[ramyhuber]

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.

[prodbyCheez]

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

[mattryan]

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

[Sathya-ch]

From around 6:28

we know, ak = ak-1 + 3 for k>1

we can reorder this: ak -1 = ak - 3

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.

[shubhamsatyaprakash]

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

[davethesid]

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!