Question: In Lecture 6 , we guessed that t n = 1 2 + 2 2 + 3 2 + cdots + n 2 = n

In Lecture 6, we guessed that
tn=12+22+32+cdots+n2=n(n+1)(2n+1)6
could be a solution for the recurrence equation
n=n-1+n2
Verify that this is indeed the solution using mathematical induction. [25 points]
In Lecture 6 , we guessed that t n = 1 2 + 2 2 +

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