Question

Use the explicit formula an = a1 + (n – 1) • d to find the 250th term of the sequence below. 57, 66, 75, 84, 93, ...

Answer 1

The answer is 2298

Explanation:

Answer 2

The general term of an arithmetic sequence is,

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

Where ,
`a_(n)` = nth term.

`a_(1)`= First term

and d = common difference.

The given sequence is: 57, 66, 75, 84, 93, ...

Here
`a_(1)`= 57,

d = 66 - 57 = 9

We need to find the 250th term. So, n = 250.

Next step is to plug in these values in the above formula. Therefore,

`a_(250) =57 +(250-1)*9`

= 57 + 249 * 9

= 57 + 2241

= 2298

Therefore, 250th of this sequence is 2298

Hope this helps you!