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Mathematics 10 Online
OpenStudy (anonymous):

help

OpenStudy (jhannybean):

noted.

OpenStudy (anonymous):

\[\sum_{k=1}^{n}f(a+k)=16(2^n-1)\]

OpenStudy (anonymous):

f(x+y)=f(x).f(y) f(1)=2 find a

OpenStudy (anonymous):

i think f(x)=p^x

ganeshie8 (ganeshie8):

\[f(a+1) + f(a+2) + \cdots+f(a+n) = 16(2^n-1)\] \[f(a) [f(1) + f(2) + ... + f(n)] = 16(2^n-1)\]

ganeshie8 (ganeshie8):

how did you get f(x) = p^x ?

OpenStudy (anonymous):

|dw:1417445259323:dw|

ganeshie8 (ganeshie8):

\[f(a)\sum_{k=1}^{n}f(k)=16(2^n-1)\]

OpenStudy (anonymous):

since it satisfies the eqn. and got by observing second condition i gave

ganeshie8 (ganeshie8):

wow! f(x) = 2^x seem to work !

ganeshie8 (ganeshie8):

a = 4 ?

OpenStudy (anonymous):

|dw:1417445430445:dw|

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