Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.3 - Geometric Sequences - 12.3 Exercises - Page 865: 49

Answer

The partial sum is 315

Work Step by Step

Use the formula for the partial sum of a geometric sequence: $S_n = a\frac{1-r^{n}}{1-r}$ Plug in the numbers given for a r and n: $S_n = 5\frac{1-2^{6}}{1-2}$ = 315
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