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

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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.

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

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

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

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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

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Formula - examples

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

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