applications of series? (1 Viewer)

da_butterfree

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hey.. i am just facing some problems with applications of series... especially the loan repayments and supers!!
please help!!
 

Estel

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It would help if you posted the questions... :)
 

Xayma

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Just work on one line at a time.
For super

A<sub>1</sub>=P(1+r/100)
A<sub>2</sub>=(P+A<sub>1</sub>)(1+r/100)
=P([1+r/100][1+r/100]<sup>2</sup>)
etc.
 

da_butterfree

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i can do it manually, but how do i form a series?? and how do i know if it is an arithmatic or a geometric series?
 

Xayma

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Super and time repayments will be GP's, anything with the compound interest formula will be a GP.

When you get to the end one (say term 30)

You will have P([1+r/100]<sup>1</sup>+[1+r/100]<sup>2</sup>+[1+r/100]<sup>3</sup>...[1+r/100]<sup>30</sup>)

Which is a GP with first term 1+r/100 30 terms and with a common difference of 1+r/100.
 

CM_Tutor

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1. Define your terms to start, if they aren't defined by the question.

2. Keep your setting out and working clear

3. Put in all the steps - don't skip over bits because you think you remember how the algebra will come out.

I can post an example if anyone would like...
 

Jennibeans

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AP have a common DIFFERENCE e.g. 1,3,5,7,9 see the difference is 2
GP have a common ratio e.g. 3,9,27,
 

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