Hey, i have a question here that reads:
Prove by mathematical induction that 1³ + 1² + ... + n³ = (n²(n+1)²)/4 for any natural number n.
Could anyone get me started on this? Any help would be greatly appreciated. Thanks.
the expression $\displaystyle 1^3+1^2+...n^3$ doesnt make any sense
I will assume the book/you actually want to prove $\displaystyle \sum_{k=1}^n k^3=\frac{n^2(n+1)^2}{4}$ which is true, can you prove this now that I have stated the actual problem or do you still need help