Consider a function f satisfying f(x + y) = f(x)f(y) wher...

Free Practice Question

PS · Problem Solving

705-805

Functions

Consider a function f satisfying

f(x + y) = f(x)f(y)

where x, y are positive integers, and

f(1) = 2

. If

f(a + 1) + f(a + 2) + … + f(a + n) = 16(2^n − 1)

then

a

is equal to

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