1 / 20

Arithmetic Sequences and Series

An arithmetic sequence is a sequence where each term increases by a constant common difference. This guide helps identify arithmetic sequences, calculate common differences, and solve problems related to the nth term. Explore how to sum the terms of an arithmetic series, write the first and last terms, and use alternative formulas for simplicity. Various examples and problems are provided for practice. Master the concepts of identifying terms, solving for given values, and calculating series sums effectively.

lyle-bates
Télécharger la présentation

Arithmetic Sequences and Series

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Arithmetic Sequences and Series

  2. Arithmetic Sequences

  3. An Arithmetic Sequence is definedas a sequence in which there is a common difference between consecutive terms.

  4. Which of the following sequences are arithmetic? Identify the common difference. YES YES NO NO YES

  5. The common difference is always the difference between any term and the term that proceeds that term. Common Difference = 5

  6. The general form of an ARITHMETIC sequence. First Term: Second Term: Third Term: Fourth Term: Fifth Term: nth Term:

  7. Formula for the nth term of an ARITHMETIC sequence. If we know any three of these we ought to be able to find the fourth.

  8. Given: Find: IDENTIFY SOLVE

  9. Given: Find: What term number is -169? IDENTIFY SOLVE

  10. Find: Given: What’s the real question? The Difference IDENTIFY SOLVE

  11. Find: Given: IDENTIFY SOLVE

  12. Arithmetic Series

  13. Write the first three terms and the last two terms of the following arithmetic series. What is the sum of this series?

  14. 50 Terms 71 + (-27) Each sum is the same. What is the SUM of these terms? Written 1st to last. Written last to 1st. Add Down

  15. In General . . .

  16. Find the sum of the terms of this arithmetic series.

  17. Find the sum of the terms of this arithmetic series. What term is -5?

  18. Alternate formula for the sum of an Arithmetic Series.

  19. Find the sum of this series It is not convenient to find the last term.

  20. Your Turn

More Related