Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.4 - Partial Sums of Arithmetic and Geometric Sequences - Exercise Set - Page 658: 5

Answer

$S_6=1092$

Work Step by Step

Using $S_n=\dfrac{a_1(1-r^n)}{1-r}$, the sum of the first $ 6 $ terms of the sequence $ 3,6,9,... $ is \begin{array}{l} S_6=\dfrac{3(1-(3)^6)}{1-3}\\\\ S_6=\dfrac{3(-728)}{-2}\\\\ S_6=1092 .\end{array}
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