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 transcript:

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.

Examples of Geometric Sequences:

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

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

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

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

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)?

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

Sum of an Infinite Geometric Sequence

Find the sum of the infinite series if it exists: