A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
By looking at 0.36 (repeating decimal) like an infinite geometric sequence, convert it into a fraction.
 2 years ago
By looking at 0.36 (repeating decimal) like an infinite geometric sequence, convert it into a fraction.

This Question is Closed

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you can do this a couple ways

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0is it \(\overline{.36}\) ?

Grazes
 2 years ago
Best ResponseYou've already chosen the best response.0I have the formula \[S _{n}=\frac{ a _{1}a_{1}r ^{n} }{ 1r }\] If that helps.

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0ok one simple method is to call \(x=\overline{.36}\) so \(100x=36\overline{.36}\) subtract and get \(100xx=36\) so \[99x=36\] and therefore \[x=\frac{36}{99}=\frac{4}{11}\] but that might not be what you want

erin512
 2 years ago
Best ResponseYou've already chosen the best response.0@satellite73 hey, when you get a chance can you finish helping me with that problem we started? thanks :)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0if you want to use the formula you wrote above, then since you are summing an infinite geometric series omit the \(a_1r^n\) part and go with \[S=\frac{a_1}{1r}\]

Grazes
 2 years ago
Best ResponseYou've already chosen the best response.0Oh. I think I copied the formula down incorrectly...

Grazes
 2 years ago
Best ResponseYou've already chosen the best response.0Cuz I was looking through my notes and wondering how I got the answers with the a1r^n part

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0yeah since \(r<1\) you have \(\lim_{n\to \infty}r^n=0\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0in this case you can use \[a=\frac{36}{100}\] and \[r=\frac{1}{100}\]

Grazes
 2 years ago
Best ResponseYou've already chosen the best response.0For reference, though, does that formula equal\[S_{n}= \frac{ a_{1}(1r ^{n)} }{ 1r }\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you get \[S=\overline{.36}=\frac{\frac{36}{100}}{1\frac{1}{100}}\] \[=\frac{\frac{36}{100}}{\frac{99}{100}}\] \[=\frac{36}{99}\] etc

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0no that is a formula for a finite series infinite series is the one i wrote above

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0@erin512 repost i cannot find it
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.