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Sect 7.3: Geometric Sequence A geometric sequence is a pattern of numbers such that to get from one term to the next, you MULTIPLY by the same value.

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Presentation on theme: "Sect 7.3: Geometric Sequence A geometric sequence is a pattern of numbers such that to get from one term to the next, you MULTIPLY by the same value."— Presentation transcript:

1 Sect 7.3: Geometric Sequence A geometric sequence is a pattern of numbers such that to get from one term to the next, you MULTIPLY by the same value.

2 Examples of Geometric Sequences:

3 Find the 10 th term…20 th term… 40 th term…

4 Geometric Sequence Ex: The first three terms are 3, 6, and 12.

5 Ex: Find the 5 th term, 8 th term, and the n th term of the sequence: 27, 9, 3, 1, …

6

7 Partial Sums of a Geometric Sequence Ex: Find the sum of the first five terms of the geometric sequence: 1,.3,.09, …

8 Want A Job? Would you work for someone who offered you $0.01 for the first day’s wages and then doubled your daily wages for each day following for an entire month (31 days)?

9 Sum of an Infinite Geometric Sequence Ex: Find the sum of ALL the terms of the geometric sequence: 4, 2, 1, …

10 Sum of an Infinite Geometric Sequence

11 Find the sum of the infinite series if it exists:

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