Question: I don't know how to evaluate the sum the result is 1/3(n+1)(n^2+5n+9) Prove by induction that for any positive integer n, :(r2+r+1) = 11012 +3n+5).

I don't know how to evaluate the sum

the result is 1/3(n+1)(n^2+5n+9)

I don't know how to evaluate the sum the result is 1/3(n+1)(n^2+5n+9)

Prove by induction that for any positive integer n, :(r2+r+1) = 11012 +3n+5). Use the above result to evaluate the sum 1x2+2x3+3x4+ ..... +2009x2010

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