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(1^(2)-a(1) ) + (2^(2)-a(2))+ (3^(2)-a(3...

`(1^(2)-a_(1) ) + (2^(2)-a_(2))+ (3^(2)-a_(3)) + cdots (n^(2) - a_(n)) = (n)/(3) ( n^(2) -1)` then which of the following is not true ?

A

`a_(n) =n`

B

`a_(1), a_(2) ,a_(3) cdots ` are in A.P.

C

`a_(1), a_(2) , a_(3) cdots ` are in G.P

D

`sum_(i=1)^(n) a_(n) = (n(n+1))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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