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If every even term of a series is a times the term before it and every odd term is c times the before it, the first term being unity, then the sum to 2n terms is

A

`((1-a)(1-c^n a^n))/(1-ca)`

B

`((1-a)(1-c^(n-1) a^(n-1)))/(1-ca)`

C

`((1-a)(1-c^(n-2)a^(n-2)))/(1-ca)`

D

`((1+a)(1-c^n a^n))/(1-ca) `

Text Solution

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The correct Answer is:
D
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