Question

this question has two parts. first, answer part a. then, answer part b.
part a
a. find the common difference of the arithmetic sequence.
$-2, -5, -8, -11, \dots$
part b
b. find the next three terms.

Explanation:

Step1: Calculate common difference

$d = -5 - (-2) = -3$

Step2: Verify common difference

$d = -8 - (-5) = -3$, $d = -11 - (-8) = -3$

Step3: Find 5th term

$a_5 = -11 + (-3) = -14$

Step4: Find 6th term

$a_6 = -14 + (-3) = -17$

Step5: Find 7th term

$a_7 = -17 + (-3) = -20$

Answer:

a. $-3$
b. $-14$, $-17$, $-20$