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: 2

Answer

The nth term of a sequence, represented by ${{a}_{n}}$, is called the general term.

Work Step by Step

The letter a with a subscript is the representation of functional values of a sequence. These graphic symbols, i.e subscripts, make up the domain of the sequence and also identify the location of a term. If we consider ${{a}_{1}}$ as the first term, ${{a}_{2}}$ as the second term, and ${{a}_{3}}$ as the third term, etc, then the notation ${{a}_{n}}$ represents the nth term, or the general term, of a sequence. The entire sequence is represented by $\{{{a}_{n}}\}$.
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