Question

A sequence is defined by the formula f(n + 1) = f(n) – 3. If f(4) = 22, what is f(1)?

Answer 1

Answer:

The value of f(1)=31

Step-by-step explanation:

Given: $f(n+1)=f(n)-3$

f(4)=22

We need to find the f(1)

Put n=3 into recursion formula

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

$f(3)=22+3=25$

Put n=2 into recursion formula

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

$f(2)=25+3=28$

Put n=1 into recursion formula

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

$f(1)=28+3=31$

Hence, The value of f(1)=31