Homework Statement
Prove that for n \geq 1
n
\sum m^{2} = (1/6)*n(n+1)(2n+1)
m=1
Homework Equations
The Attempt at a Solution
Base Case:
n=1
(1)^2 = (1/6)*(6)
1=1
Inductive Step:
Assume n=k
k
\sum m^2 = (1/6)*k(k+1)(2k+1) is true
m=1
Let n=k+1
k+1...