Proofs seem to be my weakest point when it comes to math. My teacher says that it is like an art form...one that will take me a very long time to understand.

Here is my question:

Prove the following by induction, where n is a positive integer.

1+2+3+4+....+ 2^(2-1) = 2^n - 1

My knowledge of proofs is very basic. I can only do things like "prove root3 is irrational" etc. I have trouble with them becasue there is no solid set of formulas you can use.