| Summary: | This lesson is the study of geometric sequences. It begins with the terminology of a sequence, and then moves on to geometric sequences. The main focus of this lesson is using the general term formula to find any term of a geometric sequence as well as finding the first term, the common ratio and the number of terms. Work is also done with geometric means, using a system of equations to solve problems, and applications involving a geometric sequence.
After this lesson, you will be able to:
- identify a geometric sequence.
- understand the terminology for a geometric sequence
t1 t2 tn S1 S2 Sn a, n, r
- use the general term formula for a Geometric Sequence
to find:
- a specific term, tn
- the first term, a
- the common ratio, r
- the number of terms, n
- the position of the term being considered.
- insert geometric means, GM, into a geometric sequence.
- use a system of equations to solve questions.
- use geometric sequences to solve word problems.
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