Proof by Induction - Recursive Formulas

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A sample problem demonstrating how to use mathematical proof by induction to prove recursive formulas.
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YOU NEVER EXPLAIN WHERE THE N+1/34N+4 COMES FROM

Thegamecheats
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Thanks for the great tutorial. Appreciate it!

RealEverythingComputers
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We don't get 2/7 for this formula

angryprogrammer
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At 4:13, it is best not to expand, but rewrite it as
n(3n+1) + 3n + 1

On top, where the 3n we have on the outside here is from removing it on the inside.

Ie, we had 3n+4, but that is the same as (3n+1) + 3. And we just have to distribute the n.

darcash
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3:06 oh, those were meant to be subscripts..

capybara-kg
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very nice. ty very much sir. if i had to give some feedback, i woudl ask you to use different colors and give more space between the math so that it is easier to look at

evancheng
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Nice, I"m going to watch this video many times, now I can see better the relationship between induction and the recursive part of a recursive formula, this is agreable, thanks :)

cuentaparaaprender