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Sec 5.1: Sigma Notation Finite Sums and Sigma Notation Example:

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Presentation on theme: "Sec 5.1: Sigma Notation Finite Sums and Sigma Notation Example:"— Presentation transcript:

1 Sec 5.1: Sigma Notation Finite Sums and Sigma Notation Example:
This tells us to end with k=8 This tells us to add. This tells us to start with k=1

2 Sec 5.1: Sigma Notation Finite Sums and Sigma Notation
Example: Finite Sums and Sigma Notation This tells us to end with k=8 Example: This tells us to add. This tells us to start with k=1 Example: Example: Example: Express the sum in sigma notation. Express the sum in sigma notation.

3 Sec 5.1: Sigma Notation Finite Sums and Sigma Notation
(1) Index k is dummy variable: There is k in the left side but there is no k in right hand side This tells us to end with k=8 This tells us to add. This tells us to start with k=1 (2) Any letter can be used to denote the index, but the letters i, j, and k are customary.

4 Sec 5.1: Sigma Notation Example: Example: Example: Formula:

5 Formula: Sec 5.1: Sigma Notation Evaluate Evaluate Evaluate Example:
The first n integers Example: Example: Evaluate Evaluate Example: Evaluate

6 Sec 5.1: Sigma Notation Formula Evaluate Evaluate Evaluate Example:
The first n integers Evaluate The first n squares Example: Evaluate The first n cubes Example: Evaluate

7 Sec 5.1: Sigma Notation Finite Sums and Sigma Notation Example:
(1) Index k is dummy variable: There is k in the left side but there is no k in right hand side This tells us to end with k=8 This tells us to add. This tells us to start with k=1 (2) Any letter can be used to denote the index, but the letters i, j, and k are customary. (3) we can start with any integer. Example: Start with k = 10 Example: How many terms??

8 Sec 5.1: Sigma Notation

9 Sec 5.1: Sigma Notation TERM-111 Math102-Exam-1

10 Sec 5.1: Sigma Notation


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