The exponential function $f$ is defined by $f(x) = ab^x$, where $a$ a…

Question

Prompt

The exponential function

f

is defined by

f (x) = a b^{x}

, where

a

and

b

are positive constants. If

f (n - 1) = f (n) + \frac{82}{100} f (n - 1)

, where

n

is a constant, what is the value of

b