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For each figure, how is the number on the center tile related to the numbers on the other tiles? What will the center number in Figure 6? What will the center number be in figure 10?. 9-3 Sequences and Series. Unit Objectives: Write and use recursive definitions for a sequence.
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For each figure, how is the number on the center tile related to the numbers on the other tiles? What will the center number in Figure 6? What will the center number be in figure 10?
9-3Sequences and Series Unit Objectives: Write and use recursive definitions for a sequence. Write and use explicit formulas for a sequence. Determine if sequences are arithmetic or geometric. Find values for sequences and series. Today’s Objective: I can define, identify and apply arithmetic sequences.
Sequences Term of a Sequence: Sequence: Each number: n represents term number Ordered list of numbers Recursive Definition:Uses the previous term () Two Parts: Initial ValueRecursive Rule Explicit Formula: Describes sequence using term number (n)
Arithmetic Sequence 4, 7, 10, 13, 16, … a, a + d, a + 2d, a + 3d, … +3 +3 +3 +3 a = starting value Recursive Definition: d = common difference Recursive Definition: for Explicit Formula: 1, 4, 9, 16, 25, … Explicit Formula: for 5 9 7 3 Not an Arithmetic Series
Analyzing Arithmetic Sequences Explicit Formula: Find the 46th term:3, 5, 7, … Find the 2nd and 3rd term of:100, ▒ , ▒, 82, … 94, 88, Find the 24th term: 4, 7, 10, … Finding missing term: …, 15, ▒ , 59, … 37, Arithmetic Mean:
Pg. 575 #9-60 by 3s The number of seats in the first 13 rows in a section of this arena form an arithmetic sequence. How many seats are in row 13?