Question

Consider the sequence following a minus 8 pattern: 9, 1, −7, −15, ….

b. Write a recursive formula for the sequence.

Answer 1

Answer:
`a_n=a_(n-1)-8`

Explanation:

The given sequence: 9, 1, -7, -15, ….

We observe that ,

First term : a=9

Common difference between the terms= -8

The recursive formula for Arithmetic sequence is given by :-

`a_n=a_(n-1)+d`

Substitute d= -8, we get

Recursive formula for the given sequence:
`a_n=a_(n-1)+(-8)`

`a_n=a_(n-1)-8`