1. In a concert hall, the number of seats in each row increases as you move farther from the stage. There are the first row, 38 seats in the second row, and 45 seats in the third row.

a) If this pattern continues, determine what type of sequence this represents. Then write a function rule in simplified

form that can be used to find the number of seats in the nth row. Be sure to use the correct notation you have

learned this unit. Show ALL work.

b) Use the rule to determine which row has 290 seats. Show ALL work.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?