Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.2 - Arithmetic Sequences and Partial Sums - 11.2 Exercises - Page 786: 51

Answer

$S_{50}=15100$

Work Step by Step

$d=20-8=32-20=12$ $a_n=a_1+(n-1)d$ $a_{50}=8+(50-1)12$ $a_{50}=8+49(12)$ $a_{50}=596$ $S_n=\frac{n}{2}(a_1+a_n)$ $S_{50}=\frac{50}{2}(8+596)=25(604)=15100$
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