Question

If f(1) = 6 and f(n) = f(n − 1) – 2 then find the value of f(6).

Answer 1

We have

f(1)=6

and

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

f(2)=f(1)-2=6-2=4

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

f(4)=f(3)-2=2-2=0

f(5)=f(4)-2=0-2=-2

f(6)=f(5)-2=-2-2=-4

ANSWER

f(6)=-4