Question

There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and so on. If the price per ticket is $29.99, how much will the total sales be for a one-night concert if all seats are taken?

Answer 1

The total sales will be $42,885.70.

This sequence is given by

`a_n=23+4(n-1)`. To find the total number of seats, we evaluate the sum


`\Sigma_(k=1)^(22)23+4(k-1)`.

Using a graphing calculator, we see that there are 1430 seats.

Each seat is $29.99;
1430(29.99) = 42885.70.