Question

use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the se find ( a_{200} ) when ( a_1 = -60 ), ( d = 5 ). ( a_{200} = square )

Explanation:

Step1: Recall arithmetic sequence formula

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n - 1)d$, where $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number.

Step2: Substitute given values

We need to find $a_{200}$, so $n = 200$, $a_1 = -60$, and $d = 5$. Substitute these into the formula:
$a_{200} = -60 + (200 - 1) \times 5$

Step3: Simplify the expression

First, calculate $(200 - 1) = 199$. Then, $199 \times 5 = 995$. Now, add $-60$ and $995$: $-60 + 995 = 935$.

Answer:

935