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.