Sec 5 1 Sigma Notation Example Finite Sums

Sec 5. 1: Sigma Notation Example: Finite Sums and Sigma Notation This tells us to end with k=8 This tells us to add. This tells us to start with k=1

Sec 5. 1: 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: Express the sum in sigma notation.

Sec 5. 1: Sigma Notation Finite Sums and Sigma Notation This tells us to end with k=8 (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 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.

Sec 5. 1: Sigma Notation Example: Formula:

Sec 5. 1: Sigma Notation Formula: Example: Evaluate The first n integers Example: Evaluate

Sec 5. 1: Sigma Notation Formula Example: The first n integers The first n squares Evaluate Example: Evaluate The first n cubes Example: Evaluate

Sec 5. 1: Sigma Notation Finite Sums and Sigma Notation This tells us to end with k=8 (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 add. This tells us to start with k=1 (3) we can start with any integer. Example: Start with k = 10 Example: How many terms? ? (2) Any letter can be used to denote the index, but the letters i, j, and k are customary.

Sec 5. 1: Sigma Notation

Sec 5. 1: Sigma Notation TERM-111 Math 102 -Exam-1

Sec 5. 1: Sigma Notation