College Algebra (11th Edition)

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

Chapter 7 - Review Exercises - Page 697: 10

Answer

$6, 12, 24, 48, 96$

Work Step by Step

As we know that the common ratio of a geometric sequence can be written as: $a_{n+1}=a_n\cdot r$ From the given sequence, we have: $a_1=6$ and $r=2$ $a_2=(6)(2)=12$ In similar way, we can have the remaining terms of a given sequence as: $a_3=(12)(2)=24\\a_4=(24)(2)=48\\a_5=(48)(2)=96$ Hence, the first $5$ terms are $6, 12, 24, 48, 96$
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