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Old 3rd January 2012, 04:51 PM   #1 (permalink)
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H2 mathematics Recurrence relation

Just what is so important about recurrence relation? My lecture notes didn't placed a great emphasis on this topic. The questions and examples provided seemed rather manageable. But each time, I encounter a recurrence relation question, they always seem to be asked in different styles.

What exactly do I need to know about recurence relation?

SEAB syllabus simple states: sequence generated by a simple recurrencerelation of the form X(n+1)=f(Xn) which is rather vague

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Old 4th January 2012, 12:29 AM   #2 (permalink)
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Re: H2 mathematics Recurrence relation

You are not alone in feeling that recurrence has been simply swept under the carpet. There are essentially two kinds of recurrence relation(s) problems.

1. You will be exploring the convergence of a particular series, and also appreciate (typically) the underlying fundamental inequalities linking any term and its adjacent one.

See my site: http://www.whitegroupmaths.com/2010/...nt-series.html (Q1, 2, 3 and 5)

2. You will be performing a back to front reduction process to find the nth term of a series given the mathematical relationship between two generic terms and the value of the very first term.

See the same page: Q7, 10

Hope this helps. Peace.

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Old 4th January 2012, 01:03 PM   #3 (permalink)
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Re: H2 mathematics Recurrence relation

Originally Posted by whitecorp View Post
You are not alone in feeling that recurrence has been simply swept under the carpet. There are essentially two kinds of recurrence relation(s) problems.

1. You will be exploring the convergence of a particular series, and also appreciate (typically) the underlying fundamental inequalities linking any term and its adjacent one.

See my site: http://www.whitegroupmaths.com/2010/...nt-series.html (Q1, 2, 3 and 5)

2. You will be performing a back to front reduction process to find the nth term of a series given the mathematical relationship between two generic terms and the value of the very first term.

See the same page: Q7, 10

Hope this helps. Peace.

Qn 7 and 10 seem to be really tough... Anyway,

I was looking at Qn 10 part i. After the solution went to "......." part, i was lost. How did u manage to get U1 into the equation?

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Old 4th January 2012, 01:41 PM   #4 (permalink)
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Re: H2 mathematics Recurrence relation

Q7 and Q10 are meant to be challenging, hence the star marked beside them.

For Q10 part (i), we usually do a backwards deduction mentally to get right down to U1.However, if you can't see it right away, perhaps you can see my explanation below:



http://www.sendspace.com/file/afmflr
(PDF file download for your convenience)

Hope this helps. Peace.

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Old 4th January 2012, 03:10 PM   #5 (permalink)
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Re: H2 mathematics Recurrence relation

thanks

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Old 4th January 2012, 04:19 PM   #6 (permalink)
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Re: H2 mathematics Recurrence relation

No problem. Peace.

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