Algebra Chapter 6 - Quiz #7 Sequences Name The diagram below shows how tables and chairs are arranged in the school cafeteria . One table can seat 4 people , and tables can be pushed together . When two tables are pushed together , 6 people can sit around the tab IT'S 1 Table 2 Tables 3 Tables Complete this table to show the relationship between the number of tables , n , and the number of students , S , that can be seated around the tab in ( tables ) S ( students ) If we made a sequence where the first term of the sequence was the number of students that can fit at I table . the 2 nd term where the num are the number that could fit at 2 tables , etc , would the sequence be arithmetic , geometric , or neither ? Explain your reasonin Create an explicit formula for a sequence that models this situation . Use n = I as the first term , representing how many students can sit at I table I . Using this seating arrangement , how many students could fit around IS tables pushed together in a row ?\f3. Lou opens a bank account. The deal he makes with his mother is that if he doubles the amount that was in the account at the beginning of each month by the end of the month, she will add an additional $5 to the account at the end of the month. a.) Let A(n) represent the amount in the account at the beginning of the nth month. Assume that he does, in fact, double the amount every month. Write a recursive formula for the amount of money in his account at the beginning of the nth month. b.) What is the least amount he could start with in order to have $300 by the beginning of the 3rd month