Register

Does the following infinite series converge or diverge 1/5+1/25+1/125+1/625

Does the following infinite series converge or diverge 1/5+1/25+1/125+1/625
101k views
4 votes
Does the following infinite series converge or diverge 1/5+1/25+1/125+1/625

User Joshua Comeau
by
7.8k points

1 Answer

1 vote
Yes because this is geometric series and the common ratio is 1/5, which is smaller than 1 therefore it converges.

In general, if common ratio is in between -1 and 1 exclusive, then it converges.
User Oscar Gallardo
by
8.2k points
← Prev Question Next Question →

Related questions

User Simon Brandhof
asked May 26, 2018 131k views
Does the following infinite geometric series diverge or converge? Explain. 1/5+1/25+1/125+1/625
Simon Brandhof asked May 26, 2018
by Simon Brandhof
7.8k points
2 answers
5 votes
131k views
Ask a Question
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

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Link Copied!