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: 25



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}{2}=3$ and $ n=12$ Now, $ S_{n}=\dfrac{2(1-(3)^{12})}{(1-3)}=2 \times \dfrac{-531440}{-2}$ Our answer is: $ S_{n}=531440$
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