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

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

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.

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

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

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

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

Formula - examples

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