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 1076: 91

Answer

The general formula to find the sum of the first n term of a Geometric sequence is given as: $ S_{n}=\dfrac{a_1(1-r^n)}{(1-r)}$

Work Step by Step

The general formula to find the sum of the first n term of a Geometric sequence is given as: $ S_{n}=\dfrac{a_1(1-r^n)}{(1-r)}$ In order to calculate the sum of the first n terms of a Geometric sequence we will multiply the first term $ a_1$ by the common difference between $1$ and the nth power of the common ratio; we then divide the result by the difference between $1$ and the common ration $ r $.
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