| Summary: | This lesson is the study of Geometric Series. It begins with a short review of a geometric sequence and then moves on to the terminology of a series. The main focus of this lesson is using the general sum formula to find the nth partial sum of a geometric series as well as finding the first term, the common ratio and the number of terms. Work is also done with the last term formula for a geometric series, using a system of equations to solve problems, and applications involving geometric series.
After this lesson, you will be able to:
- tell the difference between a geometric sequence and a geometric series.
- understand the terminology of a series t1 t2 tn a r n S1 S2 Sn
- find the nth partial sum of a geometric series.
- use the general sum formula for a Geometric Series.
to find:
- the first term, a
- the common ratio, r
- the number of terms in a geometric series, n
- use the last term formula for a Geometric Series
to find the last term
- solve bouncing ball problems
- use a system of equations to solve questions.
- work with word problems using a geometric series.
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