Question

What is the common ratio of the geometric sequence?

Number graph ranging from zero to ten on the x axis and zero to twenty-six on the y axis. Points are plotted on the graph at (one, sixteen), (two, twelve), (three, eight point five) and approximately (four, six point two five). The points form a general negative trend.

Responses

−4

negative 4

43

4 over 3

23

2 over 3

34

3 over 4

Answer 1

r = 12/16 = 3/4.

(16·3/4 = 12; continuing gives 9 and 6.75 — the plotted third point looks misread as 8.5, but the geometric ratio from 16 to 12 is 3/4.)