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9.1 -9.2 quiz review Name: _____________________ Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Write a rule for the nth term of the sequence. Use your rule to find a100. –8, 9, 26, 43, 60, . . . a. 1692 b. 1709 c. 17 d. 1675 ____ 2. A company is tracking the number of complaints received on its website. During the first 4 months, they record the following numbers of complaints: 20, 25, 30, and 35. Which is a possible explicit rule for the number of complaints they will receive in the nth month? a. b. ____ 3. Find the 16th term in the following arithmetic sequence. –6, –13, –20, –27, –34, ... a. –105 c. –126 b. –118 d. –111 ____ 4. Find the first 5 terms of the sequence with a. 1, 2, 3, 4, 5 b. 6, 7, 8, 9, 10 ____ 5. Find a function that describes the arithmetic sequence 16, 17, 18, 19, ... Use y to identify each term in the sequence and n to identify each term’s position. a. y = 16n c. y = n + 15 b. y = 15n +1 d. y = 17n –1 ____ 6. For a. b. c. d. and for c. 6, 12, 24, 48, 96 d. 6, 11, 21, 41, 81 , what is the value of x for which ? . Short Answer 1. Write a recursive rule for the sequence. 2. Morgan is adding ice cubes to her soup to cool it down. For the first 3 minutes after the soup is served, the temperature, in degrees Fahrenheit, is 150, 146.5, 143. Write a possible explicit rule for the temperature in the nth minute. 3. What is the first term of an arithmetic sequence with a common difference of 5 and a sixth term of 40? 4. A small hotel with 6 rooms was destroyed in a fire. After the hotel was rebuilt, the owner took out a loan to buy new beds. The recursive rule gives the amount left on the loan at the beginning of month n. Write the first five terms of the sequence. 5. Write the next three terms of the arithmetic sequence. Then write a variable expression for the nth term and evaluate it for 6 Two terms of an arithmetic sequence are and . Find both rules for the nth term. 9.1 -9.2 quiz review Answer Section MULTIPLE CHOICE 1. ANS: NAT: LOC: TOP: DOK: 2. ANS: DOK: 3. ANS: OBJ: LOC: KEY: 4. ANS: OBJ: NAT: LOC: DOK: 5. ANS: NAT: TOP: KEY: 6. ANS: DOK: D PTS: 1 REF: 091bd3f0-1a76-11df-b9de-001e33aa91d2 NT.CCSS.MTH.10.9-12.F.BF.1.a STA: MI.MIGLC.MTH.06.9-12.L1.1.5 NCTM.PSSM.00.MTH.9-12.ALG.1.a Relate Arithmetic Sequences to Linear Functions KEY: arithmetic sequences | terms DOK 2 B PTS: 1 NAT: NT.CCSS.MTH.10.9-12.F.BF.2 DOK 1 D PTS: 1 REF: a00e4413-9631-11dd-8a40-001185f11039 Finding a Given Term of an Arithmetic Sequence NAT: NT.CCSS.MTH.10.9-12.F.BF.2 MTH.C.13.06.01.01.01.003 TOP: Terms of Arithmetic Sequences arithmetic sequence DOK: DOK 1 D PTS: 1 REF: 17f19b6e-4683-11df-9c7d-001185f0d2ea Finding Terms of a Sequence by Using a Recursive Formula NT.CCSS.MTH.10.9-12.F.BF.2 STA: MI.MIGLC.MTH.06.9-12.L2.2.1 MTH.C.13.06.01.01.003 TOP: Introduction to Sequences DOK 2 C PTS: 1 NT.CCSS.MTH.10.9-12.F.BF.1.a | NT.CCSS.MTH.10.9-12.F.BF.2 Translate Between Recursive and Explicit Rules for Sequences sequence | recursive rule DOK: DOK 2 B PTS: 1 NAT: NT.CCSS.MTH.10.9-12.F.IF.2 DOK 2 SHORT ANSWER 1. ANS: ; PTS: 1 REF: MAL21664 NAT: NT.CCSS.MTH.10.9-12.F.BF.1.a | NT.CCSS.MTH.10.9-12.F.BF.2 LOC: NCTM.PSSM.00.MTH.9-12.ALG.1.a | NCTM.PSSM.00.MTH.9-12.ALG.2.d | NCTM.PSSM.00.MTH.9-12.ALG.3.b TOP: Use Recursive Rules with Sequences and Functions KEY: sequence | recursive | recursion DOK: DOK 2 2. ANS: f(n) = -3.5n + 135.5 PTS: 1 3. ANS: 15 PTS: STA: KEY: 4. ANS: NAT: NT.CCSS.MTH.10.9-12.F.BF.2 DOK: DOK 2 1 REF: MAL21596 NAT: NT.CCSS.MTH.10.9-12.F.BF.2 MI.MIGLC.MTH.06.9-12.L2.2.1 TOP: Analyze Arithmetic Sequences and Series common difference | arithmetic sequence DOK: DOK 2 7,200; 6,720; 6,240; 5,760; 5,280 PTS: 1 NAT: NT.CCSS.MTH.10.9-12.F.BF.1.a | NT.CCSS.MTH.10.9-12.F.BF.2 TOP: Translate Between Recursive and Explicit Rules for Sequences KEY: sequence | explicit rule DOK: DOK 2 5. ANS: PTS: STA: TOP: KEY: 6. ANS: PTS: NAT: TOP: DOK: 1 REF: MAL21581 NAT: NT.CCSS.MTH.10.9-12.F.BF.2 MI.MIGLC.MTH.06.9-12.L2.2.1 LOC: NCTM.PSSM.00.MTH.9-12.ALG.1.a Define and Use Sequences and Series expression | arithmetic sequence | variable DOK: DOK 2 an = 3 + (n – 1)2 an = 2n + 1 1 REF: A2.12.02.FR.09 NT.CCSS.MTH.10.9-12.F.BF.2 | NT.CCSS.MTH.10.9-12.F.LE.2 Analyze Arithmetic Sequences and Series KEY: arithmetic sequence DOK 2