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Question

If ni=1i=n(n+1)2, then ni=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
ni=1(3i2)=3ni=1i2ni=1=3n(n+1)22n=n(3n1)2.

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