Question

A sequence is defined by the recursive function f(n 1) = f(n) – 2.if f(1) = 10, what is f(3)?16830

Answer 1

Answer: f(3) =6

Explanation:

Given: A sequence is defined by the recursive function

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

f(1)= 10

Then f(2) can be written as

`f(2)=f(1+1)\\\\\Rightarrow f(2)=f(1)-2\\\\\Rightarrow f(2)=10-2\\\\\Rightarrow f(2)=8`

Similarly, f(3) can be written as

`f(3)=f(2+1)\\\\\Rightarrow f(3)=f(2)-2\\\\\Rightarrow f(3)=8-2\\\\\Rightarrow f(3)=6`

Therefore, the value of f(3) =6.

Answer 2

Hello,

f(n+1)=f(n)-2
f(1)=10
f(2)=8
f(3)=6
...