Question

what is the next term of the geometric sequence? -6, -21, -73.5, -257.25, a. -900.375 b. -6 c. -3161.3125 d. 3.5

Explanation:

Step1: Find common ratio $r$

$r = \frac{-21}{-4} = 5.25$
Verify: $\frac{-73.5}{-21}=3.5$ correction: $\frac{-73.5}{-21}=3.5$, $\frac{-257.25}{-73.5}=3.5$
Correct $r=3.5$

Step2: Calculate next term

Multiply last term by $r$: $-257.25 \times 3.5$

Answer:

a. -900.375