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Sequences & Series

Sequences & Series. 9 th Tab Chapter 9. Sequences 9.1-9.3. What is n?. n is the number spot of the term in a sequence. n 3 is the third number in the sequence (list) A n the result for the last term or the term you are looking to find. Sequence Formulas. Arithmetic

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Sequences & Series

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  1. Sequences & Series 9th Tab Chapter 9

  2. Sequences 9.1-9.3

  3. What is n? • n is the number spot of the term in a sequence. • n3is the third number in the sequence (list) • An the result for the last term or the term you are looking to find.

  4. Sequence Formulas • Arithmetic Adding----uses a common difference Formula: an=a1+(n-1)d • Geometric Multiplying----uses a common ratio Formula: an=a1*r(n-1)

  5. C

  6. Find the nth term of a sequence when a written description of the sequence is given. What is the seventh term of the geometric sequence with a first term of 729 and a common ratio of ?

  7. B

  8. H

  9. H

  10. A

  11. 390, 625

  12. J

  13. Find the missing term of the arithmetic sequence …, 25, ___, 53, …

  14. Find the missing terms in the geometric sequence • 5, 10,___, ___, 80, …

  15. $135

  16. Class work

  17. Series 9.4-9.5

  18. Summation- Adding up the sequence Σ Sigma Notation (SUM) End Formula Start

  19. Series • Sn the sum of all the numbers in a sequence • formulas are on the formula sheet.

  20. D

  21. G

  22. G

  23. Students need additional practice finding the sum of a geometric series, particularly when the common ratio is negative. Find the sum of this series.

  24. Recursive • http://www.regentsprep.org/Regents/math/algtrig/ATP3/Recursive.htm

  25. A runner begins training by running 5 mi. one week. The second week she runs a total of 6.5 mi. The third week she runs 8 mi. Assume this pattern continues. • How far will she run in the tenth week? • At the end of the tenth week, what will be the total distance she has run since she started training? • Express the total distance with summation notation (Σ).

  26. Suppose on Jan. 1 you deposit $1.00 in an empty piggy bank. On Jan. 8 you deposit $1.50; on Jan. 15 you deposit $2.00; and each week thereafter you deposit $0.50 more than the previous week. • What kind of sequence do these deposits generate? • What amount will you deposit in the 52nd week? • What is the total in the piggy bank at the end of these 52 weeks?

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