Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 12 - Section 12.2 - Arithmetic Sequences - 12.2 Exercises - Page 858: 74

Answer

840

Work Step by Step

The number of cars that can park in a row form an arithmetic sequence with first term $a=20$ and common difference $d=2$. The number of cars that can park in the 21 rows is equal to the sum of the first 21 terms of the arithmetic sequence. $S_{n}=\displaystyle \frac{n}{2}[2a+(n-1)d]$ $S_{21}=\displaystyle \frac{21}{2}[2(20)+20(2)]$ $=10.5\cdot 80$ $=840$.
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