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

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Presentation transcript:

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

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

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 =

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

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

You Try: 5. Arithmetic: 6. Geometric:

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