Question

Work the following recursive problems. Find f(1), f(2), f(3) and f(4) if f(n) is defined recursively by f(0)=-1, f(1)=2 and for n=1,2,3...

Answer 1

-1, 2, 5, 8

Explanation:

We can use the nth term equation to solve for f(3) and f(4):

`f_n=a_1+(n-1)\cdot{d}`

Where d is the difference of term 1 and 2:

`d=2-(-1)=3`

Therefore:

`f_3=-1+(3-1)\cdot{3}=5`

`f_4=-1+(4-1)\cdot{3}=8`