anthonybrausch2
contestada

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?

Respuesta :

The total sales will be $42,885.70.

This sequence is given by
[tex]a_n=23+4(n-1)[/tex].  To find the total number of seats, we evaluate the sum

[tex]\Sigma_{k=1}^{22}23+4(k-1)[/tex].

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

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

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