Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 12 2 −36 3 108 4 −324 6,564 2,184 60 −2,184 Question 4(Multiple Choice Worth 3 points) (03.07 LC) Solve the summation from n equals 2 to 8 of negative 2 plus 5 times n. 92 146 161 164 Question 5(Multiple Choice Worth 3 points) (03.07 MC) Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arithmetic formula. f(7) = f(1) + 24 f(7) = f(1) + 20 f(7) = f(1) + 12 f(7) = f(1) + 4 Question 6(Multiple Choice Worth 3 points) (03.07 MC) Max is stacking logs at his campground for firewood. After his first load of logs, he has 9 logs on the stack. After his seventh load of logs, he has 51 logs on the stack. Use sequence notation to represent the arithmetic function. an = 51 + 6(n − 1) an = 9 + 6(n − 1) an = 51 + 7(n − 1) an = 9 + 7(n− 1) Question 7(Multiple Choice Worth 3 points) (03.07 LC) Represent the arithmetic series using the recursive formula. 94, 87, 80, 73, … f(n) = f(1) + (7) f(n) = f(1) + (−7) f(n) = f(n − 1) + (7) f(n) = f(n − 1) + (−7) Question 8(Multiple Choice Worth 3 points) (03.07 LC) Represent the geometric series using the explicit formula. 2, −8, 32, −128, … f(n) = 2 ⋅ (−4)(n−1) f(n) = 2 ⋅ (4)(n−1) f(n) = f(n − 1) ⋅ (−4) f(n) = f(n − 1) ⋅ (4) Question 9(Multiple Choice Worth 3 points) (03.07 LC) Find the sum of the first five terms of the geometric series 8, −24, 72, … 484 488 648 684 Question 10(Multiple Choice Worth 3 points) (03.07 MC) Monique deposited her money in the bank to collect interest. The first month, she had $225 in her account. After the sixth month, she had $273.75 in her account. Use sequence notation to represent the geometric function. an = 273.75 ⋅ (1.04)n−1 an = 273.75 ⋅ (1.22)n−1 an = 225 ⋅ (0.22)n−1 an = 225 ⋅ (1.04)n−1 You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Explorer Toolbox Workload My Folders Current course: Instructors monitor ALL areas of a student's account Student e-mail accounts are to be used for FLVS course-related email only and not for general introductions or spamming of people in your address book. Please remember to click the Logoff link when you have completed your work in the course. FDK251.10