- #1

- 17

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## Homework Statement

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

## Homework 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)!

## 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.