Answer:
The answer is D
Step-by-step explanation:
The general term of an arithmetic sequence is,
![a_{n} =a_{1} +(n-1)d](https://tex.z-dn.net/?f=%20a_%7Bn%7D%20%3Da_%7B1%7D%20%2B%28n-1%29d%20)
Where ,
= nth term.
= First term
and d = common difference.
The given sequence is: 57, 66, 75, 84, 93, ...
Here
= 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](https://tex.z-dn.net/?f=%20a_%7B250%7D%20%3D57%20%2B%28250-1%29%2A9%20)
= 57 + 249 * 9
= 57 + 2241
= 2298
Therefore, 250th of this sequence is 2298
Hope this helps you!
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