| Summary: | This lesson is the study of Arithmetic Series. It begins with a short review of an arithmetic sequence and then moves on to the terminology of a series. The main focus of this lesson is using the general sum formula for an Arithmetic Series to find the sum of the terms of an arithmetic series. Work is also done with the last term formula for an arithmetic series and using a system of equations to solve problems, and applications involving arithmetic series.
After this lesson, you will be able to:
- tell the difference between an arithmetic sequence and an arithmetic series and understand the terminology of a series t1 t2 tn S1 S2 Sn a, n, d
- use the general sum formula for an Arithmetic series
to find:
- the sum of an arithmetic series, S
- the first term, a
- the common difference, d
- use the last term formula:
to find the last term.
- find the number of terms if the last term or the sum of the series is given.
- use a system of equations to solve questions dealing with arithmetic series.
- solve word problems involving arithmetic series.
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