Alright, so here's the first problem.
Prove that for all positive integers n, .
This is what I have so far;
Assume this is true for some . Now, for n+1,
That last part is where it is hazy.
Other problem I was having trouble with is,
Show for positive integers n,
I have a lot of crazy things for this so far. I think this, " " is the beginning of the way to take it, but I'm not sure.
Any help or new direction is greatly appreciated. Thanks a bunch in advance!