Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Graphing Calculator Activity - 12.1 Work with Sequences - Practice - Page 801: 4

Answer

a) $17,19,21,23,25,27,29,31,33,35$ b) see graph c) $260$

Work Step by Step

a) In order to find the first ten terms of the given sequence $a_n=15+2n$ put the graphing calculator in $\textit{sequence}$ mode and $\textit{dot}$ mode, enter the sequence ($15+2n$), then use the $\textit{table}$ feature to see the terms of the sequence. The first ten terms are: $$\begin{align*} a_1&=17\\ a_2&=19\\ a_3&=21\\ a_4&=23\\ a_5&=25\\ a_6&=27\\ a_7&=29\\ a_8&=31\\ a_9&=33\\ a_{10}&=35. \end{align*}$$ b) We set the viewing window so that $0\leq n\leq 10$, $0\leq x\leq 11$ and $0\leq y\leq 40$. Graph the sequence and use the $\textit{trace}$ feature to view the terms. c) With the $\textit{summation}$ feature we find the sum of the first ten terms of the sequence: $$sum(seq(15+2n,n,1,10))=260.$$
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