Denise is designing the seating arrangement for a concert an outdoor theater. to give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. denise plan the rest of the seating by solving for how many seats are in row 18. then explain to denise how to create an equation to predict the number of seats in any row. show your work, and use complete sentences.

There should be 113 seats in row 18. The equation to predict the number of seats in any row .

Step-by-step explanation:

Consider the provided information.

It is given that 1st row can have only 11 seats and each row must have 6 more seats than the row before it. So in the second row there should be 17 seats and in the 3rd row there should be 23 seats.

The pattern will look like this:11,17,23...

The above sequence is an arithmetic sequence. Where the first term is 11 and the common difference is 6.

The formula for calculating nth term in an arithmetic sequence is: 

Where n is number of term, is first term, d is the common difference, and is the nth term.

We need to find the number of seats in row 18.

Substitute , d = 6 in the above formula.

......(1)

Now, substitute n = 18 in the above formula.

Thus, there should be 113 seats in row 18.

We can simplify the equation (1) by replacing with y and n with x.

Hence, the equation to predict the number of seats in any row .