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10.2 Arithmetic Sequences and Series Wed Nov 6

10.2 Arithmetic Sequences and Series Wed Nov 6. Do Now Find the next 3 terms of the sequence 2, 5, 8, 11, 14, 17, …. HW Review: p.850 29-59. Arithmetic Sequence. A sequence in which each term after the first is found by adding the same number to the preceding term

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10.2 Arithmetic Sequences and Series Wed Nov 6

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  1. 10.2 Arithmetic Sequences and SeriesWed Nov 6 Do Now Find the next 3 terms of the sequence 2, 5, 8, 11, 14, 17, …

  2. HW Review: p.850 29-59

  3. Arithmetic Sequence • A sequence in which each term after the first is found by adding the same number to the preceding term • A sequence is arithmetic if there exists number d, called the common difference, such that

  4. Ex • For each arithmetic sequence, identify the first term and common difference • 1) 4, 9, 14, 19, 24, … • 2) 34, 27, 20, 13, 6, -1, -8, … • 3) 2, 2.5, 3, 3.5, 4, 4.5, …

  5. Nth Term of an Arithmetic Sequence • The Nth term of an arithmetic sequence is given by

  6. Ex • Find the 14th term of the arithmetic sequence 4, 7, 10, 13, … and which term is 301?

  7. Ex 2 • The 3rd term of an arithmetic sequence is 8, and the 16th term is 47. Find a1 and d and construct the sequence

  8. Arithmetic Series • The sum of an arithmetic sequence with n terms is called an arithmetic series • The sum of the first n terms of an arithmetic sequence is

  9. Ex • Find the sum of the first 100 natural numbers

  10. Ex2 • Find the sum of the first 15 terms of the arithmetic sequence 4, 7, 10, 13, …

  11. Ex3 • Find the sum

  12. Ex • Gloria accepts a job starting with an hourly wage of $14.25. She is promised a raise of 15 cents per hour every 2 months for 5 years. At the end of 5 years, what will Gloria’s hourly wage be?

  13. Closure • Find the 17th term of the arithmetic sequence 7, 4, 1, … • HW: p.859-860 #1-43 odds

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