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 1074: 27



Work Step by Step

The general formula to find the nth partial sum of a Geometric sequence is given as: $ S_{n}=\dfrac{a(1-r^n)}{(1-r)}$ $ r=\dfrac{a_2}{a_1}=\dfrac{-6}{3}=-2$ and $ n=11$ Now, $ S_{11}=\dfrac{3(1-(-2)^{11})}{(1-(-2))}=3 \times \dfrac{2049}{3}$ Our answer is: $ S_{11}=2049$
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