2-3 Geometric Sequences Definitions & Equations

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Presentation transcript:

2-3 Geometric Sequences 1 2 3 Definitions & Equations Writing & Solving Geometric Sequences 3 Practice Problems

Definitions Geometric Sequence A sequence in which each term after the first is found by multiplying the previous term by a constant Common Ratio (r) The constant each term is multiplied by in a geometric sequence

nth Term of an Geometric Sequence

Finding the Next Term Find the next term in the geometric sequence: 8, 20, 50, 125, ?

Finding a Particular Term Find the eighth term of a geometric sequence for which a1 = -3, and r = -2

Write an Equation for the nth Term Write an equation for the nth term of the geometric sequence 3, 12, 48,192…

Find a Term Given the Fourth Term and the Ratio Find the tenth term of a geometric sequence for which a4 = 108, and r = 3

Finding Geometric Means Find three geometric means between 2.25 and 576.

Practice Problems

Practice Problems