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Warm-Up: May 7, 2012

Warm-Up: May 7, 2012. What are the next three terms in each sequence? 17, 20, 23, 26, _____, _____, _____ 9, 4, -1, -6, _____, _____, _____ 500, 600, 700, 800, _____, _____, _____. Section 11-1. Arithmetic Sequences. Arithmetic Sequences.

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Warm-Up: May 7, 2012

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  1. Warm-Up: May 7, 2012 • What are the next three terms in each sequence? • 17, 20, 23, 26, _____, _____, _____ • 9, 4, -1, -6, _____, _____, _____ • 500, 600, 700, 800, _____, _____, _____

  2. Section 11-1 Arithmetic Sequences

  3. Arithmetic Sequences • A sequence is a list of numbers in a particular order. • Each number in a sequence is called a term. • An arithmetic sequence is when each term is found by adding a constant (called the common difference) to the previous term.

  4. nth Term of an Arithmetic Sequence • an = nth term • a1 = first term • d = common difference • n is any positive integer

  5. Example 2 • Find the indicated term

  6. You-Try #2 • Find the indicated term

  7. Example 3 • Write an equation for the nth term of the series 11, 15, 19, 23, …

  8. You-Try #3 • Write an equation for the nth term of the series 33, 25, 17, 9, …

  9. Arithmetic Means • The terms between any two non-successive terms are called arithmetic means.

  10. Example 4 • Find the 3 arithmetic means between 12 and 40

  11. You-Try #4 • Find the two arithmetic means between 25 and -14

  12. Assignment • Page 581 #15-43 odd, 46-48, 52-55

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