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Objective: TSW Find the sum of arithmetic and geometric series using sigma notation.

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Presentation on theme: "Objective: TSW Find the sum of arithmetic and geometric series using sigma notation."— Presentation transcript:

1 Objective: TSW Find the sum of arithmetic and geometric series using sigma notation.

2 Sigma Notation UPPER BOUND (NUMBER) Last Value LOWER BOUND (NUMBER) First Value SIGMA (SUM OF TERMS) NTH TERM (SEQUENCE)

3 To Use Sigma Notation: Figure out the number of terms, to do: Take the last value subtract from your first value then add 1. FOR ARITHMETIC SERIES: Plug in your first value to find a 1, plug in your last value to find a n then use these values to find the sum of the arithmetic series using the formula: S n = FOR GEOMETRIC SERIES: Plug in your first value to find a 1 and “r” is in the “r” spot of the formula: a n = a 1 r (n-1), then use these values to find the sum of a geometric series using the formula: S n =

4 Examples: Find the sum of each arithmetic series. 1.2.

5 Examples: Find the sum of each geometric series. 3.4.

6 You Try: 5. Arithmetic: 6. Geometric:

7 Homework: pgs. 692-695 #’s 13, 57-60(all), 85 pgs. 699-700 #’s 11, 12, 47-50(all) 12 Problems!!!! Little Alexa made this!


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