You are Here: Home >< Maths

# Core 2 Tommorow Need A Few Definitions Re-Capped...? Watch

1. Basically in the sequence and series chapter I forgot the meaning of

Divergent

Convergent

could anybody offer a quick concise definition of these and how they apply to c2 questions thanks!
2. (Original post by mora11)
Basically in the sequence and series chapter I forgot the meaning of

Divergent

Convergent

could anybody offer a quick concise definition of these and how they apply to c2 questions thanks!
if the sequence is diverging it will keep getting bigger and bigger or smaller and smaller
if it is converging it will get closer and closer to a certain point but never reach that point, this only happens is the common ratio(r) is between -1 and +1

this is all for geometric sequences
3. These only apply to geometric sequences.

A divergent sequence does not approach or tend to any value. This is generally when r > 1 and r < 1.

A converging sequence does the opposite, it approaches a value. This is generally when -1 < r < 1.
4. (Original post by kiran18)
if the sequence is diverging it will keep getting bigger and bigger or smaller and smaller
if it is converging it will get closer and closer to a certain point but never reach that point, this only happens is the common ratio(r) is between -1 and +1

this is all for geometric sequences
ok thanks for the recap but couldn't converging also be used to describe a arithmetic progression as well say for example if the common difference was 10 then the sequence would keep getting bigger?
5. (Original post by I_Am_The_Man)
These only apply to geometric sequences.

A divergent sequence does not approach or tend to any value. This is generally when r > 1 and r < 1.

A converging sequence does the opposite, it approaches a value. This is generally when -1 < r < 1.
k thanks for the recap but couldn't converging also be used to describe a arithmetic progression as well say for example if the common difference was 10 then the sequence would keep getting bigger?

and also I think you mean r>1 and r<-1 for divergent
6. (Original post by mora11)
k thanks for the recap but couldn't converging also be used to describe a arithmetic progression as well say for example if the common difference was 10 then the sequence would keep getting bigger?

and also I think you mean r>1 and r<-1 for divergent
Yes, sorry about that is what I meant and it could be applied in that way, but they would ask this question about a geometric sequence.
7. (Original post by I_Am_The_Man)
Yes, sorry about that is what I meant and it could be applied in that way, but they would ask this question about a geometric sequence.
ok thanks mate!

good luck if your sitting any exams!

Updated: May 17, 2012
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### HELP!

Mum wants to come to Freshers

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.