College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 7 - Section 7.2 - Arithmetic Sequences and Series - 7.2 Exercises: 8

Answer

$-2, 10, 22, 34, 46$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To find the first $5$ terms, keep adding the given common difference to the given first term. $\bf{\text{Solution Details:}}$ In the given sequence, $a_1= -2 ,$ and $d= 12 .$ Then the second term is \begin{array}{l}\require{cancel} a_2=a_1+d \\\\ a_2=-2+12 \\\\ a_2=10 ,\end{array} the third term is \begin{array}{l}\require{cancel} a_3=a_2+d \\\\ a_3=10+12 \\\\ a_3=22 ,\end{array} the fourth term is \begin{array}{l}\require{cancel} a_4=a_3+d \\\\ a_4=22+12 \\\\ a_4=34 ,\end{array} and the fifth term is \begin{array}{l}\require{cancel} a_5=a_4+d \\\\ a_5=34+12 \\\\ a_5=46 ,\end{array} Hence, the first $5$ terms are $ -2, 10, 22, 34, 46 .$
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