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dexar [7]
1 year ago
14

15. a music concert is organized at a memorial auditorium. the first row of the auditorium has 16 seats, the second row has 24 s

eats, the third row has 32 seats, and so on, increasing by 8 seats each row for a total of 50 rows. find the number of people that can be accommodated in the sixteenth row
Mathematics
1 answer:
Drupady [299]1 year ago
4 0

The equation for the nth term in the arithmetic sequence is   8n + 8.

The number of people that can be accommodated in the 16th row is 136.

<h3>What is an  arithmetic progression?</h3>

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given that,

No. of seats in first row = 16

No. of seats in second row = 24

No. of seats in third row = 32

Total number of rows = 50

It forms an arithmetic progression

First term = a = 16

common difference d = 8

Number of terms, n = 50

(A) The formula for the n th term of an arithmetic progression is given by

Tn = a + (n - 1) d

    = 16 + (n-1) 8

    = 16 + 8n - 8

Tn = 8n + 8

(B) Now,

n = 16

The number of seats in 16 th row is given by

T(16) = 8 x 16 + 8

T(16) = 136 seats

Hence, (A)The equation for the nth term in the arithmetic sequence is   8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.

To learn more about arithmetic progression  from the given link:

brainly.com/question/24205483

#SPJ4

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