If `a_(1),a_(2)a_(3),….,a_(15)` are in `A.P` and `a_(1)+a_(8)+a_(15) – InterviewSolution

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1.	If `a_(1),a_(2)a_(3),….,a_(15)` are in `A.P` and `a_(1)+a_(8)+a_(15)=15`, then `a_(2)+a_(3)+a_(8)+a_(13)+a_(14)` is equal toA. `25`B. `35`C. `10`D. `15`
Answer» Correct Answer - A `(a)` Given `A.P.` is `a_(1),a_(2),a_(3),…….,a_(15)` `a_(1)+a_(15)=a_(2)+a_(14)=….=2a_(8)` `a_(1)+a_(15)+a_(8)=(3)/(2)(a_(1)+a_(15))=15` `impliesa_(1)+a_(15)=10` `a_(2)+a_(3)+a_(8)+a_(13)+a_(14)=2(a_(1)+a_(15))+a_(8)` `=2(10)+5=25`

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