Answer :
If Let f be a recursive function defined by, the value of f(3) is 160.
How to find?
We have a recursive function as:
f(0) = 2f(1)
= 4f(x)
= (f(x-1) + 4)* f(x-2).
We are supposed to calculate the value of f(3).
We will put the value of x = 3 in the recursive formula of f(x).f(3)
= (f(2) + 4) * f(1)f(2)
= (f(1) + 4) * f(0)f(1)
= 4f(0)
= 2.
By putting the values of f(2) and f(1), we get:
f(3) = (6 + 4) * 4f(3)
= 40 * 4f(3)
= 160.
Hence, the value of f(3) is 160.
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