A music concert is organized at a memorial auditorium. The first row of the auditorium has 16 seats, he second row has 24 seats, the third row has 32 seats, and so on increasing by 8 each row for a total of 50 rows. A) Write an equation for the nth term in the arithmetic sequence
B) Using the equation find the number of people that can be accommodated in the 16th row
2 answers:
Answer:
(a) 8n + 8
(b) 136
Step-by-step explanation:
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
Tn = 16 + (n-1) 8
Tn = 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
A(n) = 16 + 8(n - 1) A(16) = 16 + 8(16 - 1) A(16) = 16 + 120 A(16) = 136 people
You might be interested in
Answer:
10 is greater because the square root of 20 is 4.47
Step-by-step explanation:
Answer:
It is already in standard form
Step-by-step explanation:
Four hundred eighty-two and seventy-three thousandths. = 482.073
It is already in standard form
Hope this helps!
Uh I’m not even gonna question it but thanks for the free points ig? Lol
Answer: D. -30
Step-by-step explanation: EDGE 2022 I GOT 100%
Answer:
c^3 + c^2 - 7c + 20
Step-by-step explanation:
First, expand the expression using distributive property.
c^2(c+4) - 3c(c+4) + 5(c+4)
c^3 + 4c^2 - 3c^2 - 12c + 5c + 20
Lastly, simplify like terms.
c^3 + c^2 - 7c + 20