Chapter 8: Exponents & Exponential Functions 8.6 Geometric Sequences.

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Presentation transcript:

Chapter 8: Exponents & Exponential Functions 8.6 Geometric Sequences

Ratio between consecutive terms is constant – Means you multiply each time instead of add Common ratio – What is being multiplied each time

Example 1 Find the common ratio of each sequence: 3, 12, 48, 192, … 80, 20, 5, 5/4, …

Example 1a Find the common ratio of each sequence: 750, 150, 30, 6, … -3, -6, -12, -24, … 4, 6, 9, 13.5, …

Example 2 Find the next three terms of the sequence: 2, -6, 18, -54, … 1, 3, 9, 27, …

Example 2a Find the next three terms of the sequence: 120, -60, 30, -15, … 1.1, 2.2, 4.4, 8.8, …

Example 3 Determine whether each sequence is arithmetic or geometric: -7, -5, -3, -1, … 56, 28, 14, 7, …

Example 3a Determine whether each sequence is arithmetic or geometric: 2, 4, 6, 8, … 2, 4, 8, 16, … 1, 3, 5, 7, …

Geometric Sequence Nth term First term Common ratio Term number

Example 4 Find the first, fifth, and tenth terms of the sequence that has the rule

Example 4a Find the first, fifth, and tenth terms of the sequence that has the rule

Example 4b Find the first, fifth, and tenth terms of the sequence that has the rule

Example 5 You drop a rubber ball from a height of 1 meter and it bounces back to lower and lower heights. Each curved path has 80% the height of the previous path. Write a rule for the height of each successive path. What height will the ball reach at the top of the fifth path?

Homework P even