Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.7 Arithmetic and Geometric Sequences - Exercise Set 5.7 - Page 331: 143

Answer

Makes sense.

Work Step by Step

Let total number of rows are n and total number or seats in first row are a It is given that the number of seats per row in our movie theater as the rows move toward the back is arithmetic with d = 1. The nth term is \[{{a}_{n}}\] The total number of rows can be calculated with the help of the formula of nth term of A.P \[\begin{align} & {{a}_{n}}=a+\left( n-1 \right)d \\ & =a+n-1 \end{align}\] With the help of the above equation find the total number of rows present in the theater. Hence, people don’t block the view of those in the row behind them and it makes sense.
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