Question

An arithmetic sequence is given below. - 17, -12, -7, -2, th Write an explicit formula for the Nth term AnAn=

Answer 1

A_n = -17 + 5(n- 1)

Step-by-step explanation:

An arithmetic series can be written as

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

where a1 is the first term, and d is the common difference between consecutive terms.

In our case,

The first term is -17.

The common difference between the terms is

-12 --17 = 5,

-7--12 = 5

in other words d = 5.

With the value of a1 and d in hand, we now write the arithmetic sequence

`a_n=-17+5(n-1)_{}`

which is our answer!