(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I understand the process of induction and how it works, but when it wittles down I have a hard time, as my teacher says "making the problem look like you want it to." It's just algebraic stuff showing P(k+1) is true

2. Relevant equations

1. (4^{k+1}-1) + 4^{k+1}is equivalent to: 4(4^{K+1}-16) over 3

2. (1 over 2k+3) x (1 over 2k+4) is equivalent to: 1 over (2k+4)!

3. The attempt at a solution

This is after I have plugged in k+1 for n and simplified as best I could.

For 2. I work the factorial on the right side and have a (2k+2) x (2k+1) remaining after the 2k+3 and 2k+4 have cancelled out.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Induction help

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