9.3 Geometric Sequences and Series. Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio.

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Presentation transcript:

9.3 Geometric Sequences and Series

Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio

Rule of Geometric Sequences Let a 1 = 2 r = 5 Find a 6

Rule of Geometric Sequences Let a 2 = 12 a 3 = 36 Find a 6

Rule of Geometric Sequences Let a 2 = 12 a 3 = 36 r = 3 Find a 6

Finite Sum The equation to find the Finite Sum of a Geometric Sequence

Finite Sum Let a 1 = 7, r = 3. Find the sum of the first 9 terms

Finite Sum Let a 1 = 7, r = 3. Find the sum of the first 9 terms

How many terms …….. = 820 Common ratio

How many terms …….. = 820 Common ratio 3

How many terms …….. = 820 Common ratio 3

Infinite Geometric Series If |r| < 1, it works

Infinite Geometric Series Since |0.2| < 1, it works. Let a 1 = 42

Homework Page 640 – 641 # 5, 15, 25, 35, 45, 55, 65, 75, 85, 105, 115

Homework Page 640 – 641 # 3, 9, 27, 81, 113