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: 17

Answer

$a_{1}=1$ $a_{2}=3$ $a_{3}=7$ $a_{4}=15$ $a_{5}=31$

Work Step by Step

We are given: $a_{n}=2a_{n-1}+1$ and $a_{1}=1$ We evaluate: $a_{2}=2a_{1}+1=2(1)+1=3$ $a_{3}=2a_{2}+1=2(3)+1=7$ $a_{4}=2a_{3}+1=2(7)+1=15$ $a_{5}=2a_{4}+1=2(15)+1=31$
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