Arithmetic Sequences and Series

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Arithmetic Sequences and Series
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Arithmetic Sequence
d 2nd term 1st term
3rd term 2nd term . . . 2
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Arithmetic Sequence
An arithmetic sequence is of the form
Notice that the 4th term has 3d added so, for
example, the 20th term will be
An arithmetic sequence is sometimes called an
Arithmetic Progression (A.P.)
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SUMMARY

• An arithmetic sequence is of the form

• The nth term is

• The sum of n terms of an arithmetic series is
  given by

or
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Example The common difference of an arithmetic
series is -3 and the sum of the first 30 terms is
255. Find the 1st term.
Solution