Given nonzero whole numbers n, prove(adsbygoogle = window.adsbygoogle || []).push({});

1^{3}+2^{3}+3^{3}+...+n^{3}=(1+2+...n)^{2}

I figured this out numerically, but lack the skills to solve it analytically (no doubt by induction) and could not find it in my table of summations. I'm too old for this to be homework.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Neat summation

**Physics Forums | Science Articles, Homework Help, Discussion**