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Chapter 1 Exam Practice Version Algebra 2- Triscari September 2011 Name:_____________________________________ Learning Target 1: Decide if a sequence is arithmetic, geometric, or neither. Score: ____/10 Tell if each sequence is arithmetic, geometric, or neither. Explain how you know. 1. 12, 21, 36.75, 64.3125, … 2. , … Learning Target 2: Calculate the value of a term Score: ____/10 How many squares will be in the eighth figure in this sequence? What is the 9th term in the sequence with the rule ( ) Hussein Bolt is the “Fastest Man in the World” with a 9.78-second 100 meter dash. With some hard work, he can lower his time by 0.1% each month. How long will it take him to lower his time to 9 seconds? Learning Target 3: Write a recursive rule Score: ____/10 Write a recursive rule for the sequences in question 1 and 2. 1. 2. Pinkey and the Brain are trying to take over the world. The Brain has 400 grams of plutonium. Each week, 12% of the plutonium becomes unusable. The Brain plans on using the plutonium in 8 weeks. How much usable plutonium will he have at that time? Learning Target 4: Write and use recursive rules for shifted geometric sequences Score: _____/10 Because Mr. T and all teachers are billionaires, he decides to invest some of his extra coin. He put $100,000 in an investment that starts losing 2% per week. Mr. T’s personal accountant places another $200 per week in the account. Write a recursive routine for this situation and find the long run value of Mr. T’s investment plan. Bacteria live on everything, including the door to the classroom. Bacteria tend to multiply, and the door is cleaned each day. The recursive rule below shows the number of bacteria after a certain number of days, n: ( ) Explain what each of the numbers in the rule represent. 100: 0.005: 300: Learning Target 5: Graphs for sequences Score: _____/10 Make a sketch of a geometric sequence with a common ratio larger of 1. Make a sketch of a arithmetic sequence with a common difference that is positive Learning Target 6: Model real-world situations using sequences Score:____/10 A statistician makes a list of the number of home runs that Homer Simple has hit throughout the season. Write a recursive rule that approximates the number of homeruns hit by Homer each month. Make a sketch of a shifted geometric sequence. Total Homeruns month 1 month 2 month 3 month 4 month 5 month 6 Make a sequence of numbers that has a limit of 0. (Write out the list of numbers or write a rule…your choice) 9 19 28 42 51 59