Question

find a formula for the nth term of the arithmetic sequence. first term -2 common difference 8 $a_n = ?n + $

Explanation:

Step1: Recall arithmetic sequence formula

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

Step2: Substitute given values

Substitute $a_1=-2$ and $d=8$ into the formula:
$a_n = -2 + (n-1) \times 8$

Step3: Expand and simplify the formula

$a_n = -2 + 8n - 8$
$a_n = 8n - 10$

Answer:

$a_n = 8n + (-10)$