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 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!