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: 7

Answer

$8, 14, 20, 26, 32$

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, $a_1= 8 ,$ and $d= 6 .$ Then the second term is \begin{array}{l}\require{cancel} a_2=a_1+d \\\\ a_2=8+6 \\\\ a_2=14 ,\end{array} the third term is \begin{array}{l}\require{cancel} a_3=a_2+d \\\\ a_3=14+6 \\\\ a_3=20 ,\end{array} the fourth term is \begin{array}{l}\require{cancel} a_4=a_3+d \\\\ a_4=20+6 \\\\ a_4=26 ,\end{array} and the fifth term is \begin{array}{l}\require{cancel} a_5=a_4+d \\\\ a_5=26+6 \\\\ a_5=32 ,\end{array} Hence, the first $5$ terms are $ 8, 14, 20, 26, 32 .$
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