Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the common ratio of the sequence? -71, -85.2, -102.24, -122.688…

Question

what is the common ratio of the sequence?
-71, -85.2, -102.24, -122.688, ...
○ a. -71
○ b. 0.8
○ c. 1.2
○ d. -14

Explanation:

Step1: Divide term2 by term1

$r = \frac{-85.2}{-71}$

Step2: Calculate the ratio

$r = 1.2$

Step3: Verify with next terms

$\frac{-102.24}{-85.2} = 1.2$, $\frac{-122.688}{-102.24} = 1.2$

Answer:

c. 1.2