Question

homework assignment 9.3 geometric sequences
due friday by 11:59pm points 13 submitting an external tool
homework assignment 9.3 geometric sequences
score: 0/13 answered: 0/13
question 1
determine whether the sequence is arithmetic, geometric or neither.
0.125, -0.5, 2, -8, 32 ...
select an answer
if the sequence is geometric, what is the common ratio?
question help: video written example

Explanation:

Step1: Check arithmetic sequence

Calculate differences: $-0.5 - 0.125 = -0.625$, $2 - (-0.5) = 2.5$, $-8 - 2 = -10$. Differences are not equal, so not arithmetic.

Step2: Check geometric sequence

Calculate ratios: $\frac{-0.5}{0.125} = -4$, $\frac{2}{-0.5} = -4$, $\frac{-8}{2} = -4$, $\frac{32}{-8} = -4$. Ratios are equal.

Answer:

Geometric; common ratio is -4