Question

What is the common ratio for this geometric sequence?

27, 9, 3, 1,...

Answers:
A. 1/3
B. 6
C. 1/6
D. 3

PLEASE HELPPPP!

Answer 1

The common ratio is 1/3.

Explanation:

Divide each term after the first by the previous one.

9/27 = 1/3

also 3/9 = 1/3 and 3 / 3 = 1/3.

Answer 2

A. 1/3

Explanation:

`\text{The common ratio of a geometric sequence}\ a_n:\\\\r=(a_(n+1))/(a_n)\\\\\text{We divide next term by the previous one.}\\\\r=(9)/(27)=(9:9)/(27:9)=(1)/(3)\\\\r=(3)/(9)=(3:3)/(9:3)=(1)/(3)\\\\r=(1)/(3)\\\vdots`