Core 2 Tommorow Need A Few Definitions Re-Capped...?
Maths and statistics discussion, revision, exam and homework help.
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Re: Core 2 Tommorow Need A Few Definitions Re-Capped...?if the sequence is diverging it will keep getting bigger and bigger or smaller and smaller(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 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 -
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Re: Core 2 Tommorow Need A Few Definitions Re-Capped...?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. -
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Re: Core 2 Tommorow Need A Few Definitions Re-Capped...?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?(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 -
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Re: Core 2 Tommorow Need A Few Definitions Re-Capped...?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?(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.
and also I think you mean r>1 and r<-1 for divergent -
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Re: Core 2 Tommorow Need A Few Definitions Re-Capped...?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.(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 divergentLast edited by I_Am_The_Man; 17-05-2012 at 12:31. -
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Re: Core 2 Tommorow Need A Few Definitions Re-Capped...?ok thanks mate!(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.
good luck if your sitting any exams!
