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: 52



Work Step by Step

$d=-2-(-6)=2-(-2)=4$. $a_n=a_1+(n-1)d$ $a_{100}=-6+(100-1)4$ $a_{100}=-6+99(4)$ $a_{100}=390$ $S_n=\frac{n}{2}(a_1+a_n)$ $S_{100}=\frac{100}{2}(-6+390)=50(384)=19200$
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