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1 1 2 , 1 1 3 , 1 4 , 5 , 6 ,… WRAP UP To ensure mastery of objectives, students should be able to: • Determine if a given sequence is geometric and state the common ratio. • Use the geometric mean to determine missing terms in a geometric sequence. Reteaching 9.3 (CRB) n a ( r Sn 1 ) 1 1 r 1 1 2 … 102 3 10 5 5 10 Extra Practice 9.3 (CRB) Assignment In-class practice: 1–5 Homework: 6–30 Math Applications Exercises 8, 10, and 13 from pages 422–429 9.3 Geometric Sequences and Series 407
Answers to Math Applications Math Applications for this chapter are on pages 422–429. The notes and solutions shown below accompany the suggested applications to assign with this lesson. 8. a. 2(3) 0 = 2(1) = 2 4 b. ∑ 23 ( ) n = 2(3) 0 + 2(3) 1 n= 0 + 2(3) 2 + 2(3) 3 + 2(3) 4 = 2 + 6 + 18 + 54 + 162 = 242 c. total ratings = 242 + = 250 no; Misty has a 242 250 = 96.8% positive feedback rating, which is less than 98%. 10. a. Convert the times to seconds. 220 242 = 1.1; 200 220 = 1.1; 266. 2 = 1.1; 292. 82 242 266. 2 = 1.1; 322. 102 = 1.1 292. 82 The common ratio is 1.1. b. 322.102(1.1) = 354.3122 = 5 min 54.3122 s c. 2 h 28 min = 8,880 s 8,880 + 200 + 220 + 242 + 266.2 + 292.82 + 322.102 + 354.3122 = 10,777.4342 ≈ 179.62 min Paige’s goal was 3 hours or 180 minutes. 179.62 min < 180 min, so yes, Paige met her goal. 13. a. 120 48 300 = 0.4; 120 = 0.4; 19. 2 48 = 0.4; 768 . = 0.4; 19. 2 3. 072 = 0.4 768 . The common ratio is 0.4. 3.072(0.4) = 1.2288 kb/s 10 a d 2 10a 25, 000 ( x 500) 2 ( ) 2 500 250, 000 b. 1.2288(0.4) = 0.49152 kb/s, therefore 400 users would be on the network. 408 Chapter 9 Sequences and Series
Page 1 and 2: LESSON OBJECTIVES 9.1 Patterns •
Page 3 and 4: LESSON PLANNING Vocabulary sequence
Page 5 and 6: INSTRUCTION Example 2 Return to the
Page 7 and 8: Answers to Math Applications Math A
Page 9 and 10: INSTRUCTION Tell students that the
Page 11 and 12: INSTRUCTION Ongoing Assessment Show
Page 13 and 14: Answers to Math Applications Math A
Page 15 and 16: INSTRUCTION Tell students that the
Page 17: Problem Solving Before solving this
Page 21 and 22: INSTRUCTION Students might incorrec
Page 23 and 24: WRAP UP To ensure mastery of object
Page 25 and 26: Mixed Review Additional Answers 35.
Page 27 and 28: INSTRUCTION Ask students to express
Page 29 and 30: WRAP UP To ensure mastery of object
Page 31 and 32: MATH LAB Activity 1 PREPARE • An
Page 33 and 34: Math Applications Solutions and Not
Page 41 and 42: Vocabulary Review arithmetic mean (
Page 43 and 44: 1 2 10 , 922 1 2 ∞ 1 ∑

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