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Warm Up: 4/20/2012

Warm Up: 4/20/2012. 1 . Expand the series. 2 . Write in Sigma Notation . 11.5 Sums of Series 4/20/12. Types of Sequences. Summation Sign: , A series can be written in an abbreviated form using the Greek letter sigma. Example: 2+4+6+8+…+100

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Warm Up: 4/20/2012

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  1. Warm Up: 4/20/2012 1. Expand the series 2. Write in Sigma Notation

  2. 11.5 Sums of Series 4/20/12

  3. Types of Sequences • Summation Sign: , A series can be written in an abbreviated form using the Greek letter sigma. • Example: 2+4+6+8+…+100 • Summand: Is the term 2n or the pattern. • Index: n is the index.

  4. Sums • The sum of the first n terms of an arithmetic series is… • The sum of the first n terms of a geometric series with common ratio r is…

  5. EXAMPLE #1 Find the sum of the first 40 terms

  6. Example #2 Evaluate

  7. Example #3 Evaluate

  8. Example #4 Find the sum of the first 10 terms

  9. Example #5 Evaluate

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