Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

you are sitting in row 23 and notice there are 65 seats in your row. the row in front of you has 63 seats and the row behind you has 67 seats. there are 42 rows in the auditorium. how many seats does the auditorium contain? (hint: find the number of seats in the first and last rows)

Sagot :

fichoh

Using the sum of an arithmetic sequence concept, the total number of seats in the hall is 2604

  • Row 23 = 65 seats

The number of seats in a row increases by 2 per row :

  • First row = Row 23 - Row 1 = 22
  • Last row = Row 42 - Row 23 = 19

Number of seats in row 1 = 65 - 2(22) = 65 - 44 = 21 seats

Number of seats in row 42 = 65 + 2(19) = 65 + 38 = 103 seats

Common difference = 2

Using the sum of nth term in a sequence :

Sn = n/2(a + l)

  • a = first term
  • l = last term

Sn = 42/2(21 + 103)

Sn = 21(21 + 103)

Sn = 21(124)

Sn = 2604

Therefore, the total Number of seats is 2604.

Learn more : https://brainly.com/question/25331847

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.