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If the sum of the series 2, 5, 8, 11, ……….  n terms is 60100, then find the value  of n.

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a
100
b
200
c
300
d
400

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detailed solution

Correct option is B

Here first term is a=2 and common difference d=3.Hence sum of n terms of A.P. is (n/2)(4+3(n-1))=60100⇒3n2+n−120200=0⇒(n−200)(3n+601)=0⇒n=200


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