Name: Date: Instructor: Section: Angel, Algebra for College Students, 3e 339 12.1 Sequences and Series Objectives Find the terms of a sequence. Write a series. Find partial sums. Use summation notation, . Key Vocabulary sequence, infinite sequence, finite...
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Name: Date: Instructor: Section: Angel, Algebra for College Students, 3e 339 12.1 Sequences and Series Objectives Find the terms of a sequence. Write a series. Find partial sums. Use summation notation, . Key Vocabulary sequence, infinite sequence, finite sequence, general term of the sequence, increasing sequence, decreasing sequence, alternating sequence, series, partial sum, sigma, , index of summation, upper limit of summation, lower limit of summation, summation notation Find the terms of a sequence. Example 1 Write the finite sequence defined by an = 3n + 4, for n = 1, 2, 3, 4. Example 2 Find the indicated term of the sequence 2 4 3 n n an + = . a) first b) third c) sixth d) seventh Example 3 Find the first four terms of the sequence whose general term is an = (–2)n (n). Write a series. Example 4 Write the first six terms of the sequences, then write the series that represents the sum of that sequence. a) an = (–3)n b) n n a = 3 1 _________________________ Answers: 1. 7, 10, 13,
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