I was trying to help a friend do the following problem(adsbygoogle = window.adsbygoogle || []).push({});

Prove with induction

Sum of [tex] i^5 [/tex] from 1 to n =

[tex] \frac{n^2(n+1)^2(2n^2+2n-1}{12} [/tex]

we got it to

[tex] \frac{(k+1)^2(k+2)^2(2k^2+4k+2)+2k+1}{12} [/tex] but we can't seem to get it to go back to the orginal equation when you substitue k+1 into the orignal formula

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# Homework Help: Math Induction

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