Thread: University Algebra Problem

I know the first step (plugging in a number like 2) and seeing if it works, but I have trouble when it comes to inserting "k" and "k+1".

Prove by induction that
1^3+....n^3=(1+.....n)^2.

Any help appreciated.

Mike

You have to show that,
1^3+2^3+3^3+...+n^3=n^2(n+1)^2/4

Then, show that,
1+2+...+n=n(n+1)/2

Thus, since we see that if we square the bottom one then we get the top one, proof complete.

Look Heir for similar problem.