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12.5 Sigma Notation and the nth term

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1 12.5 Sigma Notation and the nth term
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Assignment #45 No book assignment, instead it is a worksheet.

2 By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Sigma Notation

3 Example 1: Expand the summation and describe the series
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 1: Expand the summation and describe the series

4 Example 1: Expand the summation and describe the series
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 1: Expand the summation and describe the series

5 By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Summation Formulas

6 By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 2: Use the summation formula for ARITHMETIC series to find the sum

7 By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 2: Use the summation formula for ARITHMETIC series to find the sum

8 Solving Quadratic Equations
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Solving Quadratic Equations

9 Example 3: Find the number of terms needed to obtain the given sum
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 3: Find the number of terms needed to obtain the given sum

10 Example 3: Find the number of terms needed to obtain the given sum
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 3: Find the number of terms needed to obtain the given sum

11 Example 3: Find the number of terms needed to obtain the given sum
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 3: Find the number of terms needed to obtain the given sum

12 Example 3: Find the number of terms needed to obtain the given sum
By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Example 3: Find the number of terms needed to obtain the given sum

13 By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Summary

14 By the end of the section students will be able to expand a summation given in sigma notation, determine the sum of an arithmetic series using sigma notation and determine the number of terms in a arithmetic sequence for a given sum as evidenced by completion of an exit slip. Summary


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