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CBSE Class 11-science Answered

find the natural number  a for which SIGMA f(a+k) (whose limits k=1 to n ) =16(2^n-1),where the function f satisfies f(x+y)=f(x).f(y) for all natural numbers x.y and further f(1)=2  
Asked by mrverma999 | 21 Aug, 2018, 03:48: PM
answered-by-expert Expert Answer
begin mathsize 18px style space straight f left parenthesis straight x plus straight y right parenthesis equals straight f left parenthesis straight x right parenthesis. straight f left parenthesis straight y right parenthesis
then space
straight f left parenthesis straight x right parenthesis equals straight a to the power of kx..... solution
straight f left parenthesis 1 right parenthesis equals 2 space
2 space equals straight a to the power of straight k
straight a equals 2

please space check space your space question end style
Answered by Arun | 27 Aug, 2018, 12:53: PM

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