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Sect 7.3: Geometric Sequence

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.

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Sect 7.3: Geometric Sequence

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  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 10th term…20th term… 40th term…

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

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

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

  7. 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)?

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

  9. Sum of an Infinite Geometric Sequence

  10. Find the sum of the infinite series if it exists:

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

  12. Find the sum of the infinite series if it exists:

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