Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Review Exercises - Page 870: 27

Answer

The total number of seats is $1470$ seats.

Work Step by Step

Seats in the first row $=25$. Seats in the second row $=26$ and so on Total number of seats $=25+26+27+.....35$terms. This is the arithmetic series. 35th term $25+(35-1)1=25+34=59$ The sum of the series is $=\frac{35}{2}(25+59)$ $=\frac{35}{2}(84)$ $=35\cdot 42$ $=1470$.
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