2. Holt McDougal Algebra 2 Introduction to Sequences Holt Algebra 2Holt McDougal Algebra 2 How do we find the nth term of a sequence? How do we write rules for sequences? How do we evaluate summation notation?

3. Holt McDougal Algebra 2 Introduction to Sequences Now that you have learned how to find the nth term of a sequence. Often we are also interested in the sum of a certain number of terms of a sequence. A series is the indicated sum of the terms of a sequence. Some examples are shown in the table.

4. Holt McDougal Algebra 2 Introduction to Sequences Because many sequences are infinite and do not have defined sums, we often find partial sums. A partial sum, indicated by S n, is the sum of a specified number of terms of a sequence.

5. Holt McDougal Algebra 2 Introduction to Sequences A series can also be represented by using summation notation, which uses the Greek letter  (capital sigma) to denote the sum of a sequence defined by a rule, as shown.

6. Holt McDougal Algebra 2 Introduction to Sequences Using Summation Notation Write the series with summation notation.

7. Holt McDougal Algebra 2 Introduction to Sequences Using Summation Notation Write the series with summation notation.

8. Holt McDougal Algebra 2 Introduction to Sequences Using Summation Notation Write the series with summation notation.

9. Holt McDougal Algebra 2 Introduction to Sequences Using Summation Notation Write the series with summation notation.

10. Holt McDougal Algebra 2 Introduction to Sequences Caution!

11. Holt McDougal Algebra 2 Introduction to Sequences Expand the series and evaluate. Evaluating a Series Expand the series by replacing k. Evaluate powers.

12. Holt McDougal Algebra 2 Introduction to Sequences Expand the series and evaluate. Evaluating a Series Expand the series by replacing k. Evaluate powers.

13. Holt McDougal Algebra 2 Introduction to Sequences Expand the series and evaluate. Evaluating a Series Expand the series by replacing k. Evaluate powers.

14. Holt McDougal Algebra 2 Introduction to Sequences Expand the series and evaluate. Evaluating a Series Expand the series by replacing k. Evaluate powers.

15. Holt McDougal Algebra 2 Introduction to Sequences Lesson 5.1 Practice B