College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.2: 70

Answer

Total number of seats in theater = 1430

Work Step by Step

Number of seats in first Row = 30 Number of seats increase per Row = 2 By formula $a_{n}$ = $a_{1}$ + (n-1)d Number of seats in $26^{th}$ Row = 30 + (26 - 1)$\times$2 = 30 + 50 = 80 By formula The sum $S_{n}$ = $\frac{n}{2}$(first term + last term) Total number of seats in theater = $\frac{26}{2}$( 30 + 80) = 13$\times$110 = 1430
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