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Published byCaitlin Glenn Modified over 9 years ago

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

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Section 11.2

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

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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.

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

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

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

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

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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, …

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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, …

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

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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

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

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

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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

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Find the two arithmetic means between 5.26 and 6.34

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Find the three arithmetic means between 18 and -10

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

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