Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Explain to Jeff how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 25.

12+5x X being the row number, may need to minus 1. 12+5(25)=135 or 12+5(24)=132 if you need to minus one

Step-by-step explanation:

The reason why I said you might need to minus 1 from the row number because if you plug in 2 for x, 2 being row 2, you would get 22 when you truly would only need 17.  If you do need to minus 1 the sample equation would be 12+5(x-1)

Hope that helps and is right! sorry if it isn't

132

Step-by-step explanation:

1. After reading this we can conclude some values:

Common difference (d) = 5

(Since increasing by 5 is the same as adding 5 we can determine it is arithmetic and since we are not looking for a sum we can conclude it a sequence.)

First-term (a[1]) = 12

Row number (n) = 25

2. Now the staring formula for and arithmetic sequence is A[n] = a[1] + (n-1)d.

A[n] = 12 + (n-1)5

3. Now that we have the formula we can solve for the number of seats in row 25 by plugging in 25 for n.

A[25] = 12 + (25-1)5

A[25] = 12 + 24*5

A[25] = 12 + 120

A[25] = 132

4. So in row 25, we will have 132 seats.