18) The school auditorium has three sections (two side sections and one middle section), each with 20 rows of seats. The side sections have 6 seats in the first row and one more seat in each succeeding row. The
middle section has 10 seats in the first row and one additional seat in each succeeding row.
a) Express the middle and side sections explicitly in simplest form as an arithmetic sequence
b) Express the middle and side sections as an arithmetic series using summation notation
c) State the number of seats in each section and the total number of seats in the auditorium
d) Express the total seats in the entire auditorium as an arithmetic series using summation notation
e) Seat pricing for the drama club's spring play is $15 for seats in the first 5 rows, $10 for seats in the
next 10 rows, and $7 for seats in the last 5 rows. Express this pricing structure using the arithmetic
series you found in part d, then state the amount of money generated if all tickets were sold.