Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Review Exercises - Page 1124: 31

Answer

$ a_{1}=3;a_2=6;a_3=12;a_4=24;a_5=48$

Work Step by Step

The general formula to find the nth term of a Geometric sequence is given as: $ a_{n}=a_1r^{n-1}$ Here, $ a_n=3(2)^{n-1}$ Plug $ n=1,2,3,4,5$ $ a_{1}=3(2)^{1-1}=3;a_2=3(2)^{2-1}=6;a_3=3(2)^{3-1}=12;a_4=3(2)^{4-1}=24;a_5=3(2)^{5-1}=48$ So, the first $5$ terms of the sequence are $ a_{1}=3;a_2=6;a_3=12;a_4=24;a_5=48$
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