 What are the next three terms in each sequence?  17, 20, 23, 26, ___, _, _  9, 4, -1, -6, _, _, _  500, 600, 700, 800, ___,

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Presentation transcript:

 What are the next three terms in each sequence?  17, 20, 23, 26, _____, _____, _____  9, 4, -1, -6, _____, _____, _____  500, 600, 700, 800, _____, _____, _____

Section 11-1

 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.

 a n = nth term  a 1 = first term  d = common difference  n is any positive integer

 Find the indicated term

 Write an equation for the nth term of the series 11, 15, 19, 23, …

 Write an equation for the nth term of the series 33, 25, 17, 9, …

 The terms between any two non-successive terms are called arithmetic means.

 Find the 3 arithmetic means between 12 and 40

 Find the two arithmetic means between 25 and -14

 Page 581 #15-43 odd, 46-48, 52-55