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Arithmetic Sequences

Arithmetic Sequences. Objective: Recognize arithmetic sequence. To find the next term in a sequence by looking for a pattern To find specific terms in an arithmetic sequence. Vocabulary

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Arithmetic Sequences

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  1. Arithmetic Sequences Objective: Recognize arithmetic sequence. To find the next term in a sequence by looking for a pattern To find specific terms in an arithmetic sequence.

  2. Vocabulary • Arithmetic Sequence- each term after the first is found by adding a constant, called the common difference, d, to the previous term • Sequence- a set of numbers {1, 3, 5, 7, …} • Terms- each number in a sequence • Common Difference- the number added to find the next term of an arithmetic sequence.

  3. Determine whether each sequence is an arithmetic sequence. If it is, state the common difference. 1) 31, 26, 21, 16, … 2) 1, 2, 4, 8, … 3) -26, -22, -18, -14, …

  4. Writing Arithmetic Sequences Each term in an arithmetic sequence can be expressed in terms of the first term and the common difference.

  5. Formula for the nth term of an Arithmetic Sequence nth term 1st term # of common Find the indicated term. the term difference 4) Find the 10th term in the sequence trying to 12, 23, 34, 45, … find

  6. 5) Find the indicated term.

  7. Complete each statement. 6) 170 is the ____th term of –4, 2, 8

  8. Find the indicated term. 7)

  9. Write an equation for the nth term of the arithmetic sequence. 8) 6, 13, 20, 27, …

  10. Classwork/Homework Work on worksheet exercises 1-11 all, 13 thru 19 odd, 20, 21, 22, and 23

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