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IB Studies www.ibmaths.com Adrian Sparrow Arithmetic progressions: series and sequences 1.

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Presentation on theme: "IB Studies www.ibmaths.com Adrian Sparrow Arithmetic progressions: series and sequences 1."— Presentation transcript:

1 IB Studies www.ibmaths.com Adrian Sparrow Arithmetic progressions: series and sequences 1

2 Arithmetic sequences Find the next two terms of each of these sequences. These are arithmetic progressions as the difference between each is a constant added term.

3 Arithmetic sequences finding d Find the difference (d) between each term.

4 Formula - examples The n th term The first term The common difference

5 Formula Find the formula for the next term of each sequence.

6 Sums of arithmetic progressions As the numbers form an arithmetic progression and now they are being added they become an arithmetic series. The sum of n terms The first term The common difference The sum of n terms The first term The last term

7 Formula - examples

8 Sums Find the sum of the first 30 terms of each of these series.


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