n
SUM k^3 = (n^2(n+1)2)/4
k = 1

I've done the first step and proven 1
I believe I've done the second step and proven that k^3 = (k^4+2k^3+k^2)/4
Somewhere along the way I'm supposed to have a substitution and I can't figure out what it is or where it might go. I've tried the third step k+1 but I think I might be wrong.

Thanks
Aha! Thanks guys. The way our professor taught it to us was by steps.

!)Step 1 - prove it's true for n = 1
Step 2 - Assume if 1 is true then k would be true (for any int k)
Step 3 - show that k+1 is true.

Anywho, I will set best answer in the morning when it lets me. Thanks again