Sequences COURSE 3 LESSON 12-1

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Sequences COURSE 3 LESSON 12-1 Find the first four terms of the sequence represented by each expression. a. (n – 1)n Term number (n) 1 2 3 4 Term of (1 – 1)1 (2 – 1)2 (3 – 1)3 (4 – 1)4 Sequence = 0 = 2 = 6 = 12 b. 1 + 2(n – 1) Term number (n) 1 2 3 4 Term of 1 + 2(1 – 1) 1 + 2(2 – 1) 1 + 2(3 – 1) 1 + 2(4 – 1) Sequence = 1 = 3 = 5 = 7 12-1

Sequences (continued) c. 5 • 2n + 1 Term number (n) 1 2 3 4 COURSE 3 LESSON 12-1 (continued) c. 5 • 2n + 1 Term number (n) 1 2 3 4 Term of 5 • 21 + 1 5 • 22 + 1 5 • 23 + 1 5 • 24 + 1 Sequence = 20 = 40 = 80 = 160 12-1

Sequences Write a rule for each sequence. 1. 1, 8, 64, 512, . . . COURSE 3 LESSON 12-1 Sequences Write a rule for each sequence. 1. 1, 8, 64, 512, . . . 2. 100, 85, 70, 55, . . . 3. –2, –6, –18, –54, . . . 4. Write the first four terms of the sequence represented by –7n + 21. Start with 1 and multiply by 8 repeatedly. Start with 100 and add –15 repeatedly. Start with –2 and multiply by 3 repeatedly. 14, 7, 0, –7 12-1