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noted.
\[\sum_{k=1}^{n}f(a+k)=16(2^n-1)\]
f(x+y)=f(x).f(y) f(1)=2 find a
i think f(x)=p^x
\[f(a+1) + f(a+2) + \cdots+f(a+n) = 16(2^n-1)\] \[f(a) [f(1) + f(2) + ... + f(n)] = 16(2^n-1)\]
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how did you get f(x) = p^x ?
|dw:1417445259323:dw|
\[f(a)\sum_{k=1}^{n}f(k)=16(2^n-1)\]
since it satisfies the eqn. and got by observing second condition i gave
wow! f(x) = 2^x seem to work !
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a = 4 ?
|dw:1417445430445:dw|
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