5-4: Sigma Notation Objectives: Review sigma notation ©2002 Roy L. Gover

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Presentation transcript:

5-4: Sigma Notation Objectives: Review sigma notation ©2002 Roy L. Gover

Definition Upper Bound Lower Bound Index i th Term Sigma Notation

Example Find the sum:

Definition Summation Formulas (see pages of your text):

Example Use a summation formula to find the sum:

Try This Use a summation formula to find the sum:

Example Use the following summation formula to find the sum of all consecutive integers from 1 to 50:

Try This Use the following summation formula to find the sum of the squares of all consecutive integers from 1 to 10:

Example Write in summation notation:

Example Write in summation notation:

Definition This summation is called a Riemann sum. It is used to estimate the area under a curve. More on this later…