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Questions  

If the mean of nobsenrations12 ,22,32………n2 is 46n11, then n is equal to

a
11
b
12
c
23
d
22

detailed solution

Correct option is A

According to the given condition,12+22+32+…+n2n=46n11⇒n(n+1)(2n+1)6n=46n11⇒112n2+3n+1=276n⇒22n2−243n+11=0⇒(n−11)(22n−1)=0⇒n=11

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