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Name _____________________ Date ____________ Block ___________ Grade______ Sequences Study Guide 6.17 Sequences: student will identify and extend geometric and arithmetic sequences. 1. Identify the sequence. 2. Identify the sequence. 23, 16, 9, 2,… 1, 4, 9, 16, 25… A. Arithmetic B. Geometric C. Neither A. Arithmetic B. Geometric C. Neither 3. What is the next term in the sequence below? 625, 125, 25, 5,… 4. If the common ratio is 4, what kind of sequence is given? A. Arithmetic B. Geometric D. Neither 5. Naomi is selling newspapers. On Monday she sold 6 newspapers, on Tuesday she sold 10 newspapers, on Wednesday she sold 14 newspapers. If this pattern continues, how many newspapers did she sell on Friday? 6. Write an arithmetic sequence that starts at 25 and has a common difference of -4. 7. The table shows the amount of money Samantha charges per hour for babysitting. How much will Time Dollars she charge for 7 (hours) hours of 1 $5.50 babysitting? 2 $11.00 8. Shawn keeps track of when the Olympics are on. The summer Olympics occur every four years. According to his table, when are the next three times that the summer Olympics will occur? 3 $16.50 4 $22.00 5 $27.50 _____, _____, _____, ____, _____,_____ Year 1 2 3 4 5 6 6 7 9. Identify the common difference in the following sequence: 50, 45, 40, 35, 30 a) 5 b) -5 c) 3 1 d) 5 Olympic Year 2000 2004 2008 10. Identify the common ratio in the following sequence: 1000, 100, 10, 1, 0.1 a) b) c) d) 900 -900 10 0.1