Question

What is the sequence that has a recursive formula A(n) =A(n-1)+9 where A(1)=5?

Answer 1

`A(n)=A(n-1)+9`

To find the terms, substitute the n by 2 (second term):

A(n-1) is the previous number

A(1)= 5

`A(2)=5+9=14`

n 3 third term:

`A(3)=14+9=23`

n 4 fourth term:

`A(4)=23+9=32`

Sequence:

`5,14,23,32,\ldots`