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Arithmetic Sequences

Identify common difference, find next terms, calculate nth term, and conclude pattern in an arithmetic sequence. Formula used to determine nth term given.

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Arithmetic Sequences

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  1. Arithmetic Sequences 3102.3.1    Recognize and extend arithmetic sequences

  2. Find the Common Difference 82, 76, 70, 64 What is the common difference of the arithmetic sequence? Find the next 3 terms in the sequence. 82, 76, 70, 64, -6 58 52 46

  3. Find the nth term Use this formula to find the nth term of the following arithmetic sequence 82, 76, 70, 64 an = a1 + (n – 1)d n = the term you are wanting to find a1= the first term of the sequence d = the common difference Find the 201st term a201 = 82 + (201 – 1)* -6 a201 =-1118

  4. Finish the Pattern Which shape would come next?

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