May i ask for some ? 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?

  1. equations for an arithmetic sequence:

  2. total sales: $8910

Step-by-step explanation:

1. The explicit equation for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...

The recursive formula for the n-th term is ...

Filling in a₁ = 15, d = 3, the explicit formula becomes ...

And the recursive equation becomes ...

__

2. The revenue will be the product of ticket price and number of seats. The number of seats will be the average number in a row times the number of rows. For an odd number of rows (11), the middle row (6) has the average number of seats.

  revenue = $27 × (11)a₆ = $297 × (15 +3(6-1)) = $8910

Total sales for a sold-out concert will be $8910.

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step-by-step explanation:

answer: 72: 111

step-by-step explanation: