Chapter 14 - Sequences and Series

First, sequences are defined, and examples are given of finding formulas for the nth term of various sequences. Then the summation notation is defined and used in representing series. The arbitrary nature of the index is demonstrated. Arithmetic sequences and series are then covered, including the general formulas for the nth term of such sequences and the sum of such series. Then geometric sequences and series and their formulas are discussed, including both finite and infinite series. Annuities are covered as an important application of geometric series. The chapter concludes with coverage of binomial expansions for powers of binomials greater than two, including various examples, the use of Pascal's Triangle and factorials in obtaining coefficients, and the Binomial Theorem.

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