How do i prove this [tex] \sum_{r=1}^n (r^5)=1/12n^2(n+1)^2(2n^2+2n-1) [/tex](adsbygoogle = window.adsbygoogle || []).push({});

when i have already proven this 2.. That [tex] \sum_{r=1}^n (r^3)=1/4n^2(n+1)^2

[/tex] and [tex] \sum_{r=1}^n (r^3+3r^5)=1/2n^3(n+1)^3 [/tex]

The problem is that i know how to solve the first 2 but dun know how to solve the big one using the other 2.

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

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!

# Homework Help: Help on induction?

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