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For any natural number n n n , suppose the sum of the first n n n terms of an arithmetic progression is S n = n + 2 n 2 S_n = n + 2n^2 S n ​ = n + 2 n...

CAT Medium Sequence & Series (AP, GP, HP) MCQ

Question

For any natural number

nn
, suppose the sum of the first
nn
terms of an arithmetic progression is

Sn=n+2n2S_n = n + 2n^2
. If the
nthn^\text{th}
term of the progression is divisible by 9, then the smallest possible value of
nn
is:

Options

A.

4

B.

8

C.

7

D.

9

arithmetic progressiondivisibilitynatural numberscat 2022

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