Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?

Sagot :

shimelisabraham99

Answer:

798

Step-by-step explanation:

So, 21*{2*18 + (21-1)*2}/2

= 21*{36 + 20*2}/2

= 21*{36+40}/2

= 21*76/2

= 1596/2

= 798

Total number of seats is 798

Given that;

Number of seats in first row = 18

Number of rows = 21

Each row added number of seats then previous = 2

Find:

Total number of seats

Computation:

Total number of seats = Sn = (n/2)[2a + (n-1)d]

Total number of seats = Sn = (21/2)[2(18) + (21-1)2]

Total number of seats = (21/2)[36 + (20)2]

Total number of seats = (21/2)[36 + 40]

Total number of seats = (21/2)[76]

Total number of seats = (21)(38)

Total number of seats = 798

Learn more:

https://brainly.com/question/16668552?referrer=searchResults

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.