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Question

If πi=1i = n(n+1)2, then πi=1(3i2) =


A

n(3n1)2

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B

n(3n+1)2

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C

n(3n + 2)

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D

n(3n+1)4

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Solution

The correct option is A

n(3n1)2


πi=1 = 3πi=1i - 2 πi=11 = 3 n(n+1)2 - 2n = n(3n1)2


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