Question

Find an equation for the nth term of the arithmetic sequence.

Answer 1

Answer:

Option B.

Step-by-step explanation:

The given arithmetic sequence is

$-13,-8,-3,2,...$

We need to find the nth term of the given arithmetic sequence.

Here,

First term : $a=-13$

Common difference : $a_2-a_1=-8-(-13)=-8+13=5$

The nth term of an arithmetic sequence is  

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

Substitute a=-13 and d=5 in the above formula.

$a_n=-13+(n-1)5$

$a_n=-13+5(n-1)$

Therefore, the correct option is B.

Answer 2

The answer is the second answer choice, an = -13 + 5(n - 1)