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: 10

Answer

$4, 7, 10, 13, 16$

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, $a_1= 4 ,$ and $d= 3 .$ Then the second term is \begin{array}{l}\require{cancel} a_2=a_1+d \\\\ a_2=4+3 \\\\ a_2=7 ,\end{array} the third term is \begin{array}{l}\require{cancel} a_3=a_2+d \\\\ a_3=7+3 \\\\ a_3=10 ,\end{array} the fourth term is \begin{array}{l}\require{cancel} a_4=a_3+d \\\\ a_4=10+3 \\\\ a_4=13 ,\end{array} and the fifth term is \begin{array}{l}\require{cancel} a_5=a_4+d \\\\ a_5=13+3 \\\\ a_5=16 ,\end{array} Hence, the first $5$ terms are $ 4, 7, 10, 13, 16 .$
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