Question

Theaters are often built with more seats per row as the rows move toward the back. The Community Theater has 20 seats in the first row, 22 in the second, 24 in the third, and so on, for 16 rows. How many seats are in the theater?

Name: Problem 46, Chapter 11: Intermediate Algebra : Concepts and Applications
Uploaded: 2020-07-15T06:14:43-08:00
Duration: 2 min 2 s
Channel: Ankit Gupta
Description: Theaters are often built with more seats per row as the rows move toward the back. The Community Theater has 20 seats in the first row, 22 in the second, 24 in the third, and so on, for 16 rows. How many seats are in the theater?

   Theaters are often built with more seats per row as the rows move toward the back. The Community Theater has 20 seats in the first row, 22 in the second, 24 in the third, and so on, for 16 rows. How many seats are in the theater?

Intermediate Algebra : Concepts and Applications

Marvin L. Bittinger,… 10th Edition

Chapter 11, Problem 46

Instant Answer

Solved by Expert Ankit Gupta

07/15/2020

Step 1

The number of seats increases by 2 for each row. This is an arithmetic progression where the first term (a) is 20 and the common difference (d) is 2. Show more…

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Theaters are often built with more seats per row as the rows move toward the back. The Community Theater has 20 seats in the first row, 22 in the second, 24 in the third, and so on, for 16 rows. How many seats are in the theater?

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Key Concepts

Arithmetic Sequence

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant. This concept is important because it allows us to predict any term in the sequence using the first term and the common difference.

Arithmetic Series

An arithmetic series is the sum of the terms in an arithmetic sequence. It is calculated using a formula that incorporates the number of terms, the first term, and the last term (or the common difference), enabling the efficient computation of the total sum without adding each individual term.

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