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Lesson 4-7 Arithmetic Sequences

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**Definitions Sequence- A set of numbers in a specific order.**

Terms- The numbers in a sequence. Arithmetic Sequence- When the difference between successive terms is constant. Common Difference- The difference between terms.

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**Determine whether each sequence is arithmetic. Justify your answer.**

-15, -13, -11, -9, …

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**Find the next three terms of the arithmetic sequence -8, -11, -14, -17, …**

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**nth Term of an Arithmetic Sequence- an = a1+ (n - 1)d.**

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**Find the 9th term in the arithmetic sequence 7, 11, 15, 19, …**

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**Consider the arithmetic sequence -8, 1, 10, 19, …**

Write an equation for the nth term of the sequence. Find the 12th term in the sequence. Graph the first five terms of the sequence.

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