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Homework Statement
Find a formula fo the sum of the fourth powers of the first n positive integers
n
∑ i^4
(i=1)
Justify your work using mathematical induction
Homework Equations
so i know the formula for the sum of the cubes of the first n positive integers
k=n+1
∑ = (1^3)+(2^3)+(3^3)+...+(n^3)+((n+1)^3)= {((n+1)^2)((n+2)^2)} / (4)
k=1
I was wondering what was the proof for the sum of the quartic of the first n positive integers
The Attempt at a Solution
This is actually what I started working out and I don't know whether it is right
N
∑ i^4 = (1/30)(N+1)(N)(2N+1)((3N^2)+3N-1)
i=1
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