# 1. 2, 4, 6, 8, 10, … 2. 15, 11, 7, 3, -1, … 3. -12, -7, -2, 3, 8, …

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1. 2, 4, 6, 8, 10, … 2. 15, 11, 7, 3, -1, … 3. -12, -7, -2, 3, 8, …

Section 11.2

 Learn what an arithmetic sequence is and how to find a particular term.

 Identify if a sequence is arithmetic, and if so, identify the common difference.  Identify a term in an arithmetic sequence given two other terms.  Find the arithmetic means between two given numbers.

 How can we recognize and utilize a pattern in a sequence of numbers.

 An arithmetic sequence is a sequence whose successive terms differ by the same number, d, called the common difference.

 t 1 is the first term  n is an integer  t n is the n th term  d is the common difference

 n and m are integers  t n is the n th term  t m is the m th term  d is the common difference

 Based on the terms given, state whether or not each sequence is arithmetic. If it is, identify the common difference, d.  0, -6, -12, -18, -24, …

 Based on the terms given, state whether or not each sequence is arithmetic. If it is, identify the common difference, d.  -3, 0, 3, 6, 9, …

 Based on the terms given, state whether or not each sequence is arithmetic. If it is, identify the common difference, d.

1. Find the common difference 2. Find the first term 3. Find the n th term OR 1. Find the common difference 2. Fill in the blanks by adding d until you get to the n th term

 Find the indicated term given two other terms.  10 th term; t 1 = 2.1 and t 4 = 1.83

 Find the indicated term given two other terms.  5 th term; t 3 = 10 and t 7 = 26

 Arithmetic means are the terms between two nonconsecutive terms of an arithmetic sequence. 1. Let the first number be t 1 and the second number by t n 2. n is the number of arithmetic means + 2 3. Use the equation to solve for d 4. Add d to find the missing terms

 Find the two arithmetic means between 5.26 and 6.34

 Find the three arithmetic means between 18 and -10

 Pages 703-704 #9-29 odd, 51-55 odd, 69-73 odd

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