Algebra 3 7.3 Geometric Sequences Objectives of this Section Determine if a Sequence Is Geometric Find a Formula for a Geometric Sequence Find the Sum.

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Presentation transcript:

Algebra Geometric Sequences Objectives of this Section Determine if a Sequence Is Geometric Find a Formula for a Geometric Sequence Find the Sum of a Geometric Sequence Solve Annuity Problems

A sequence is geometric when the ratio of successive terms is always the same nonzero number. A geometric sequence is defined recursively as where r is called the common ratio of the sequence.

Determine if the following sequence is geometric 3, 15, 75, 375,... The sequence is geometric with a common ratio of 5.

nth Term of a Geometric Sequence

Sum of First n Terms of a Geometric Sequence

Amount of an Annuity If P represents the deposit made in dollars at each payment period for an annuity at i percent interest per payment period, the amount A of the annuity after n payment periods is

Suppose Yola deposits $500 into a Roth IRA every quarter (3 months). What will be the value of the account in 25 years assuming it earns 9% per annum compounded quarterly?

Homework Page 675: 5-63 odds Page 675: 5-63 odds