Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.1 - Sequences and Summation Notation - Concept and Vocabulary Check - Page 1048: 1

Answer

$\{{{a}_{n}}\}={{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},......,{{a}_{n}},....$ represents an infinite sequence, a function whose domain is the set of positive integers. The function values ${{a}_{1}},{{a}_{2}},{{a}_{3}},....$are called the terms.

Work Step by Step

From the definition of a sequence, we know that an infinite sequence $\{{{a}_{n}}\}$ is a function having a set of positive integers as its domain. The function values, or terms, of the sequence are represented by ${{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},......,{{a}_{n}}.$ Sequences whose domains consist only of the first n positive integers are called finite sequences.
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