Lesson 4 Practice Problems 1. Technology required. Open a blank spreadsheet. In A1, type 2 and enter. 5. Here is the graph of a sequence. a. What should you type into cell A2 to generate the sequence 2, 4, 8, 16, 32, .. a. Explain how you know this sequence is when you fill down the column? arithmetic. b. What should you type into cell A2 to generate the sequence 2, 4, 6, 8, 10, . .. when you fill down the column ? 2. Technology required. Open a blank spreadsheet. In A1, type 400 and enter. b. Explain how you know a. What should you type into cell A2 to generate the sequence 400, 200, 100, 50, this sequence is not value of term 25, . . . when you fill down the column? geometric. b. What should you type into cell A2 to generate the sequence 400, 325, 250, 175, 100 , . . . when you fill down the column? 3. Technology required. Open a blank spreadsheet. a. If cell A1 = 5 and cell A2 = A1 * 3 + 2, what are the first 5 terms of the sequence? b. If cell A1 = 1 and cell A2 = (A1 + 2) * 3, what are the first 5 terms of the to sequence? 1 N 3 4 5 6 term number c. If cell A1 = 2 and cell A2 = (A1 + 2) * 3, what are the first 5 terms of the sequence? (From Unit 1, Lesson 3.) 4. Technology required. Open a blank spreadsheet. 6. The first two terms of a geometric sequence are 6 and 3. a. Find the first 5 terms of a geometric sequence that starts with -5 and has a growth factor of -1. a. Explain why there is only one geometric sequence with these first two terms. b. Find the first 5 terms of a geometric sequence that starts with -20 and has a growth factor of 0.5. b. What are the next 3 terms of this geometric sequence? C. Find the first 5 terms of an arithmetic sequence that starts with -20 and has an rate of change of 5. (From Unit 1, Lesson 2.) d. Find the first 5 terms of an arithmetic sequence that starts with 43 and has an rate of change of -7