Question

The formula for the nth term of the arithmetic sequence first term is 9 common difference is -2

Answer 1

`a_n = 9 - 2(n-1)`

Explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.

The nth term is given by the following equation:

`a_n = a_1 + (n-1)d`

In which
`a_1` is the first term and d is the common difference.

First term is 9 common difference is -2

This means that
`a_1 = 9, d = -2`

So, the nth term is given by:

`a_n = a_1 + (n-1)d`

`a_n = 9 + (n-1)(-2)`

`a_n = 9 - 2(n-1)`