Question: P ( n ) : 0 2 + 1 2 + 2 2 + . . . + n 2 = n ( n +

P(n): 02+12+22+...+ n2= n(n +1)(2n +1)/6, n>=0.
If n =0, then the left-hand side of P(0)=02=0, and right-hand side of P(0)=0\times (0+1)(2\times 0+1)/6=0.
What is the right-hand side of P(n+1)?

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