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The natural number a for which sum(k=1,n...

The natural number `a` for which `sum_(k=1,n) f(a+k)=16(2^n-1)` where the function f satisfies the relation `f(x+y)=f(x).f(y)` for all natural numbers x,y and further `f(1)=2` is:- A) 2 B) 3 C) 1 D) none of these

A

2

B

16

C

4

D

3

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The correct Answer is:
D
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