Question

A sequence is defined recursively as f0=-2, f1=1 fn= fn-1 x fn-2 what wil be the value of f4

Answer 1

The value of f(4) is 4.

Explanation:

Given : A sequence is defined recursively as f(0)=-2 , f(1)= 1 and f(n)=f(n-1) x f(n-2)

At n= 2 ,

f(2) = f(1) x f(0)

f(2)= (1) x (-2) = -2

At n=3  ,

f(3) = f(2) x f(1)

f(3)= (-2)(1) = -2

At n =4 ,

f(4) =  f(3) x f(2)

f(4) =-2 x - 2 = 4

Therefore , the value of f(4) is 4.

# Learn more :

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

If f(1) = 10, what is f(3)?

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