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
1. (4 k+1-1) + 4k+1 is equivalent to: 4(4K+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.