Precalculus (6th Edition) Blitzer

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

Chapter 10 - Section 10.3 - Geoetric Sequences and Series - Exercise Set - Page 1073: 3

Answer

$20,10,5, \dfrac{5}{2},\dfrac{5}{4}$

Work Step by Step

The general formula to find the nth term of a Geometric sequence is given as: $ a_{n+1}=a_nr $ We are given that $ a_1=20$ $ a_2=a_1r = (20)(\dfrac{1}{2})=10 ;\\ a_3=a_2r = (10)(\dfrac{1}{2})=5; \\ a_4=a_3r = (5)(\dfrac{1}{2})=\dfrac{5}{2} ; \\ a_5=a_4r = (\dfrac{5}{2})(\dfrac{1}{2})=\dfrac{5}{4}$ Hence, the first five terms are: $20,10,5, \dfrac{5}{2},\dfrac{5}{4}$
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