If f(1) = 3 and f(n) = -2f(n-1) + 1, what is f(5)?

1 Answer
Aug 6, 2016

f(5)=43

Explanation:

f(1)=3

f(n)=-2f(n-1)+1

f(2)=-2f(1)+1

f(2)=-2(3)+1=-6+2=-5

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

f(3)=-2(-5)+1

f(3)=11

f(4)=-2(f(3))+1

f(4)=-2(11)+1

f(4)=-22+1=-21

f(5)=-2(f(4))+1

f(5)=-2(-21)+1

f(5)=42+1

f(5)=43