Name _____________________________________Period ____ Score ___=____ Notes _____ 10 50 c/b____________________________________ Secondary I Chapter 4 Review 1. For each sequence, write an explicit formula. Then determine the 15th term in the sequence. a. 5, 10, 20, 40, 80, 160 b. _____________________ ____________________ 2. For each sequence, write a recursive formula. Then determine the unknown term in the sequence. a. 0.15, 0.17, 0.19, 0.21,______ b. _______, __________________ ______________________ 3. Consider the sequence shown. a. Describe the pattern. ________________________________________________________________ b. Draw the next two figures of the pattern. c. Write a numeric sequence to represent the first 5 figures.__________________________________ 4. Identify each sequence as arithmetic or geometric. Then determine the common difference or common ratio for each sequence. a. 2, 5, 8, 11, 14, 17_____________________________ _____________ b. 26, 12, c. 1, d. 0.13, 0.38, 0.63, 0.88, 1.13 _________________________ ____________ , , , 48, ______________________________ _______________ , _____________________________ _________________ 5. Rewrite each explicit formula in function form. a. _______________________ b. ____________________ 6. Graph the ordered pairs for the sequence given by the formula . Multiple Choice ____ 7. Which sequence has a common ratio of 3? a. b. c. d. ____ 8. Which sequence has a common difference of 1.25? a. b. c. d. ____ 9, 6, 3, 0, 3 1, 3, 9, 27, 81 9, 12, 15, 18, 21 1, 3, 9, 27, 81 0, 1.25, 2.5, 3.75, 5 0, 1.25, 2.5, 3.75, 5 0, 0.25, 0.5, 0.75, 1 0, 0.25, 0.5, 0.75, 1 9. Shelby’s printer had 500 sheets of paper in it. After Monday, there were 466 sheets of paper. After Tuesday, there were 432 sheets of paper. After Wednesday, there were 398 sheets of paper. If this pattern continues, how many sheets of paper will be left after Friday? a. b. c. d. 34 296 330 364 ____ 10. What is the common ratio of the sequence 6, 3, 1.5, 0.75? a. 2 b. 0.5 c. 0.5 d. 2 ____ 11. Determine if the sequence 184, 207, 230, 253,… is arithmetic or geometric. Then identify the next term in the sequence. a. b. c. d. arithmetic; arithmetic; geometric; geometric; 23 276 23 276 ____ 12. Which explicit formula is represented by the graph? a. b. c. d. ____ 13. What is the next term in the sequence 1.35, 4.49, 7.63, 10.77, 13.91, …? a. 20.19 b. 17.05 c. 3.14 d. 1.79 ____ 14. Which represents the explicit formula for the geometric sequence in function form? a. b. c. d. ____ 15. Raymond is filling his kitchen sink to wash dishes. After one minute, there are 2.75 gallons of water in the sink. After two minutes, there are 5.5 gallons of water in the sink. After three minutes, there are 8.25 gallons of water in the sink. If this pattern continues, how many gallons of water will be in the sink after five minutes? a. b. c. d. 2.75 11 13.75 16.5 ____ 16. What is the next term in the sequence? a. b. c. d. Secondary I Chapter 4 Review Answer Section 1. ANS: a. b. PTS: NAT: TOP: 2. ANS: a. 1 REF: 4.3 F.BF.1.a | F.BF.2 | A.SSE.1.a | F.LE.1.b | F.LE.1.c | F.LE.2 Pre Test KEY: index | explicit formula | recursive formula 0.23 b. PTS: NAT: TOP: 3. ANS: a. 1 REF: 4.3 F.BF.1.a | F.BF.2 | A.SSE.1.a | F.LE.1.b | F.LE.1.c | F.LE.2 Pre Test KEY: index | explicit formula | recursive formula Each figure has 1 more row of dots at the bottom. That row has one more dot than the bottom row in the previous figure. b. c. 3, 6, 10, 15, 21 PTS: 1 REF: 4.1 NAT: F.LE.1.b | F.LE.1.c | F.LE.2 TOP: Pre Test KEY: sequence | term of a sequence | infinite sequence | finite sequence 4. ANS: a. arithmetic; common difference: 3 b. geometric; common ratio: 2 c. geometric; common ratio: d. arithmetic; common difference: 0.25 PTS: 1 TOP: Pre Test ratio 5. ANS: a. REF: 4.2 NAT: F.BF.1.a | F.LE.2 | F.LE.1.b | F.LE.1.c KEY: arithmetic sequence | common difference | geometric sequence | common b. PTS: 1 REF: 4.5 NAT: F.IF.1 | F.IF.2 | F.IF.3 | F.BF.1 | F.BF.2 | F.LE.1 | F.LE.1.a | F.LE.1.b | F.LE.1.c | F.LE.2 | F.LE.5 TOP: Pre Test 6. ANS: 7. 8. 9. 10. 11. 12. 13. 14. PTS: TOP: ANS: NAT: KEY: ANS: NAT: KEY: ANS: TOP: KEY: ANS: NAT: KEY: ANS: NAT: TOP: ANS: TOP: ANS: NAT: KEY: ANS: NAT: 1 REF: 4.4 NAT: F.IF.1 | F.IF.4 | F.LE.2 Pre Test D PTS: 1 REF: 4.2 F.BF.1.a | F.LE.2 | F.LE.1.b | F.LE.1.c TOP: Standardized Test arithmetic sequence | common difference | geometric sequence | common ratio B PTS: 1 REF: 4.2 F.BF.1.a | F.LE.2 | F.LE.1.b | F.LE.1.c TOP: Standardized Test arithmetic sequence | common difference | geometric sequence | common ratio C PTS: 1 REF: 4.1 NAT: F.LE.1.b | F.LE.1.c | F.LE.2 Standardized Test sequence | term of a sequence | infinite sequence | finite sequence B PTS: 1 REF: 4.2 F.BF.1.a | F.LE.2 | F.LE.1.b | F.LE.1.c TOP: Standardized Test arithmetic sequence | common difference | geometric sequence | common ratio B PTS: 1 REF: 4.3 F.BF.1.a | F.BF.2 | A.SSE.1.a | F.LE.1.b | F.LE.1.c | F.LE.2 Standardized Test KEY: index | explicit formula | recursive formula C PTS: 1 REF: 4.4 NAT: F.IF.1 | F.IF.4 | F.LE.2 Standardized Test B PTS: 1 REF: 4.2 F.BF.1.a | F.LE.2 | F.LE.1.b | F.LE.1.c TOP: Standardized Test arithmetic sequence | common difference | geometric sequence | common ratio A PTS: 1 REF: 4.5 F.IF.1 | F.IF.2 | F.IF.3 | F.BF.1 | F.BF.2 | F.LE.1 | F.LE.1.a | F.LE.1.b | F.LE.1.c | F.LE.2 | F.LE.5 TOP: 15. ANS: TOP: KEY: 16. ANS: NAT: KEY: Standardized Test C PTS: 1 REF: 4.1 NAT: F.LE.1.b | F.LE.1.c | F.LE.2 Standardized Test sequence | term of a sequence | infinite sequence | finite sequence D PTS: 1 REF: 4.2 F.BF.1.a | F.LE.2 | F.LE.1.b | F.LE.1.c TOP: Standardized Test arithmetic sequence | common difference | geometric sequence | common ratio