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Warm-Up Question

Warm-Up Question. Find first five terms of each sequence. 1) 2) 3) 4). Sequences and Series. Recursive Rules with Sequences. Explicit Rule vs. Recursive Rule. Lesson: P.467.

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Warm-Up Question

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  1. Warm-Up Question Find first five terms of each sequence. 1) 2) 3) 4)

  2. Sequences and Series Recursive Rules with Sequences

  3. Explicit Rule vs. Recursive Rule • Lesson: P.467 An explicit rule for sequence gives as a function of the term’s position number n in the sequence. and are examples of explicit rule. A recursive rule gives the beginning term or terms of a sequence and then a recursive equation that tells how is related to one or more preceding terms. The recursive rules equivalent to above explicit rules are ; and ; , respectively. • Example: P.467 Write the first six terms of the sequence. a. b. Required Practice: P.470 3, 4, 10, 11 Additional Practice: P.470 5, 6, 7

  4. Recursive Equations • Lesson: P.467 Arithmetic Sequence where d is the common difference Geometric Sequence where r is the common ratio • Example: P.468 Write a recursive rule for the sequence. a. 3, 13, 23, 33, 43 b. 16, 40, 100, 250, 625 Required Practice: P.471 13, 14, 15, 17 Additional Practice: P.470 18, 20, 21

  5. Homework Assignment Workbook page 97 1, 2, 5, 6, 7, 9, 10, 11, 12, 13

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