Question

Represent the arithmetic series using the recursive formula 94, 87, 80, 73,

Answer 1

`a_1 = 94 \\ a_n = a_ {n - 1} - 7`

Explanation:

The given arithmetic sequence is 94, 87, 80, 73,...

The first term is

`a_1=94`

The common difference is

`d = 87 - 94`

`d = - 7`

The recursive formula is given by:

`a_n = a_ {n - 1} + d`

We substitute the common difference to obtain:

`a_n = a_ {n - 1} - 7`