Question

If f(1)=9 and f(n) = -2 f(n-1) then find the value of f(6)

Answer 1

f(6)=2304

Explanation:

hello :

f(1)=9 and f(n) = -2 f(n-1) so f is the geometric seqeunce the common ratio is : r = -2

the nth term is : f(n) = f(1) (-2) ^(n-1)

when n=6 : f(6) = 9(-2)^8 =2304