205k views
2 votes
Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 1 0.1 0.01 0.001

2 Answers

3 votes
The common ratio is 0.10

0.1 x 0.1 = 0.01
0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10
common ratio = 0.001/0.01 = 0.10
User Jake Lishman
by
7.7k points
6 votes

Answer:

common ratio for the given sequence is 0.1

Explanation:

Common ratio(r) defined as the ratio of term to the previous term.

Given the sequence:

0.1, 0.01, 0.001, ...


a_1 = 0.1


a_2 = 0.01


a_3 = 0.001 ......

by definition of common difference;


r = (a_2)/(a_1)=(a_3)/(a_2).....

Substitute the given values we have;


r = (0.01)/(0.1)=(0.001)/(0.01).....

Simplify:


r = 0.1

Therefore, the common ratio for the given sequence is 0.1

User Akshay Soam
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories