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