MATH SOLVE

3 months ago

Q:
# Determine the common ratio and find the next three terms of the geometric sequence.10, 2, 0.4, ...a. 0.2; -0.4, -2, -10 c. 0.02; 0.08, 0.016, 0.0032 b. 0.02; -0.4, -2, -10 d. 0.2; 0.08, 0.016, 0.0032

Accepted Solution

A:

Answer: d. 0.2; 0.08, 0.016, 0.0032Step-by-step explanation:The common ratio is the ratio of adjacent terms: r = 2/10 = 0.4/2 = 0.2__Multiplying the last term by this ratio gives the next term: 0.4×0.2 = 0.08 0.08×0.2 = 0.016 0.016×0.2 = 0.0032The next 3 terms are 0.08, 0.016, 0.0032.