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 - Exercise Set - Page 1050: 74


Just put the position value of the number in the formula and evaluate.

Work Step by Step

To write the terms of a sequence, we have to put the position of the term in the general expression. Example: Let’s assume some arbitrary sequence $ S=\left\{ {{a}_{n}} \right\}$, where the general terms ${{a}_{n}}$ are defined by, ${{a}_{n}}={{n}^{2}},n=1,2,...,5$ Therefore, for these sequences, ${{1}^{\text{st}}}$ Term ${{a}_{1}}=1$, ${{2}^{\text{nd}}}$ Term ${{a}_{2}}=4$, ${{3}^{\text{rd}}}$ Term ${{a}_{3}}=9$, ${{4}^{\text{th}}}$ Term ${{a}_{4}}=16$ and ${{5}^{\text{th}}}$ Term ${{a}_{5}}=25$ Hence, the sequence will be $\left\{ 1,4,9,16,25 \right\}$.
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