6. Here is a growing pattern: L 1 EV 1 a. Describe how the number of dots increases from Stage 1 to Stage 3. b. Write a definition for sequence D, so that D(n) is the number of dots in Stage n. c. Is D a geometric sequence, an arithmetic sequence, or neither? Explain how you know . (From Unit 1, Lesson 9.) 7. A paper clip weighs 0.5 grams and an empty envelope weighs 6.75 grams. a. Han adds paper clips one at a time to an empty envelope. Complete the table with the weight of the envelope w(n), in grams, after n paper clips have been added. n w(n) b. Does w(10.25) make sense? Explain how you know. 0 6.75 2 3 (From Unit 1, Lesson 9.) 64 iM KHiM Illustrative Mathematics pieces Lesson 9 Practice Problems 1. A party will have hexagonal tables placed together with space for one person on each open side: a. Complete this table showing the number of people P(n) who can sit at n tables. n 2 3 5 P(n) 6 b. Describe how the number of people who can sit at the tables changes with each step. c. Explain why P(3.2) does not make sense in this scenario. d. Define P recursively and for the nith term. 2. Diego is making a stack of pennies. He starts with 5 and then adds them 1 at at time. A penny is 1.52 mm thick. n h(n a. Complete the table with the height of the stack h(n), in 0 7.6 mm, after n pennies have been added. 1 b. Does h(1.52) make sense? Explain how you know. 2 3 Unit 1 Lesson 9 Practice Problems H 57