Question

Write the recursive rule for the 5th term of the sequence: -7, -3, 1, 5, 9

Answer 1

Explanation:

Let
`x_(n)` represent the nth term in the sequence. Then
`x_(n-1)` represents the previous term

The first term,
`x_(1)` = -7

Each consecutive term is obtained by adding 4 to the previous term.

So the recursive relation is

`\left \{ {{x_(1)= -7} \atop {x_(n)= x_(n-1) + 4}} \right.`