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If 12 + 22 + + n2 = 1015, then value of n is

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a
15
b
14
c
13
d
16

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detailed solution

Correct option is B

16n(n+1)(2n+1)=1015⇒(2n)(2n+1)(2n+2)=(28)(29)(30)⇒2n=28 or n=14


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