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Let S be the sum of the first 9 terms of...

Let S be the sum of the first 9 terms of the series :
`{x+ka}+{x^(2)+(k+2)a}+{x^(3)+(k+4)a}+{x^(4)+(k+6)a}+...` where `a!=0` and `a!=1`.
If `S=(x^(10)-x+45a(x-1))/(x-1)`, then k is equal to :

A

`-5`

B

1

C

`-3`

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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