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Question

If limnnr=1a(1+3+5++(2r1))+(a2)rnnnr=1(2r1)=4, then the value of a is

A
3
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B
4
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C
6
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D
8
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Solution

The correct option is C 6
limnnr=1ar2+(a2)rnn(n2)=4limnnr=11n[a(rn)2+(a2)rn]=410[ax2+(a2)x]dx=4a3+a22=4a=6

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