Question

I will give you literally 40 points if you answer this. In a stadium, there are 31 chairs in the first row and 37 in the second row. The number of chairs in a row continues to increase by 6 with each additional row. a) write the first 5 numbers of this sequence b)what is the explicit tilde for the number of seats in n rows c)use the rule you wrote in 1b to determine which row has 103 seats. SHOW ALL WORK

Answer 1

A) 1st Row = 31 seats

    2nd row = 37 seats

     3rd row = 37+6 = 43 seats

     4th row = 43+6 = 49 seats

      5th row = 49+6 = 55 seats

B) The formula for finding the number of seats in any row number is:

Number of seats in nth row = 31 + (n-1) *6

C)  To find the row with 103 seats,  set the equation in B to equal 103 and solve for n:

103 = 31 + (n-1)*6

Subtract 31 from each side:

72 = (n-1)*6

Divide both sides by 6:

12 = n-1

add 1 to each side:

n = 13

The 13th row has 103 seats.