College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.1 - Sequences and Summation Notation - 8.1 Exercises: 15

Answer

$a_1=4$ $a_2=14$ $a_3=34$ $a_4=74$ $a_{5}=154$

Work Step by Step

We are given: $a_{n}=2(a_{n-1}+3)$ and $a_1=4$ We evaluate: $a_2=2(a_{1}+3)=2(4+3)=14$ $a_3=2(a_{2}+3)=2(14+3)=34$ $a_4=2(a_{3}+3)=2(34+3)=74$ $a_{5}=2(a_{4}+3)=2(74+3)=154$
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