Let f: R rarr R be such that f(1)=2 and ...

Let `f: R rarr R` be such that f(1)=2 and `f(x+y)=f(x)f(y)` for all natural numbers x and y. If `Sigma_(k=1)^(n) f(a+k)=16(2^(n)-1)`, then a is equal to

A

3

B

4

C

5

D

6

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The correct Answer is:

A

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