# A sequence is defined by the recursive function f(n+1) = f(n) - 2 . If  f(1) = 10 , what is  f(3 )?

Mar 20, 2018

$f \left(3\right) = 6$

#### Explanation:

we have

$f \left(n + 1\right) = f \left(n\right) - 2$

and

$f \left(1\right) = 10$

to find

$f \left(3\right)$

$f \left(2\right) = f \left(1\right) - 2 = 10 - 2 = 8$

$f \left(3\right) = f \left(2\right) - 2 = 8 - 2 = 6$