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Master Math: Pre-Calculus by Debra Anne Ross

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Chapter 4. Sequences, Progressions, and Series

  • 4.1 Sequences

  • 4.2 Arithmetic Progressions

  • 4.3 Geometric Progressions

  • 4.4 Series

  • 4.5 Infinite Series: Convergence and Divergence

  • 4.6 Tests for Convergence of Infinite Series

  • 4.7 The Power Series

  • 4.8 Expanding Functions into Series

  • 4.9 The Binomial Expansion

Sequences

• A sequence is a set of numbers called terms, which are arranged in a succession in which there is a relationship or rule between each successive number.

• A sequence can be finite or infinite. A finite sequence has a last term, and an infinite sequence has no last term.

• The following is an example of a finite sequence:

  • {3, 6, 9, 12, 15, 18}

In this sequence, each number has a value of 3 more than the preceding number.

• The following is an example ...

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