1: There are 11 rows of seats in a concert hall: 15 seats are in the 1st row, 18 seats in the 2nd row, 21 seats in the 3rd row, and so on. What's the explicit equation and the recursive equation?

2: If the price per ticket is 27$, how much will be the total sales for a one-night concert if all the seats are taken?

Question

Mathematics

Callum

6 October, 11:17

1: There are 11 rows of seats in a concert hall: 15 seats are in the 1st row, 18 seats in the 2nd row, 21 seats in the 3rd row, and so on. What's the explicit equation and the recursive equation?

2: If the price per ticket is 27$, how much will be the total sales for a one-night concert if all the seats are taken?

+3

Answers (1)

Know the Answer?

Ishaan Patton · Answer 1

Step-by-step explanation:

c. d.=21-18=18-15=3

y=15+3 (x-1), x∈N, x≤18

recursive equation

a_{n}=a_{n-1}+3

2.

S_{18}=18/2{2*15 + (18-1) * 3}=9 (30+51) = 9*81=729

Total sales=729*27=19,683 $