A topic generally associated with sequences is series. a)

Chapter 5, Problem 5.1.690

(choose chapter or problem)

A topic generally associated with sequences is series. a) Research series and explain what a series is and how it differs from a sequence. Also write a formal definition of series. Give examples of different kinds of series. b) Write the arithmetic series associated with the arithmetic sequence 1, 4, 7, 10, 13, p . c) Write the geometric series associated with the geometric sequence 3, 6, 12, 24, 48, p . d) What is an infinite geometric series? e) Determine the sum of the terms of the infinite geometric series 1 + 1 2 + 1 4 + 1 8 + 1 16 + g.

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