Question

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Answer 1

So

an=an+b

14=4a+b and a=-8

14=-32+b

b= 46

an=-8n+46

Answer 2

Answer with Step-by-step explanation:

`a_(4)=14`

Each term of the sequence is 8 less than the previous term

⇒
`a_(3)=14+8=22`

⇒
`a_(2)=22+8=30`

⇒
`a_(1)=30+8=38`

In general
`a_(n)=a_(n-1)-8,a_(1)=38`

Hence, recursive formula representing the situation is:

`a_(n)=a_(n-1)-8,a_(1)=38`