1. Essential Questions Series and Summation Notation
How do we find the terms of an arithmetic sequence?
How do we find the sum of an arithmetic series?
Holt McDougal Algebra 2
Holt Algebra 2

2. The nth term of an arithmetic sequence is
where a1 is the first term and d is the common difference.
General Rule for Arithmetic Sequence
To state a recursive rule of an arithmetic sequence, state the first term and the rule in the following form:
where a1 is the first term and d is the common difference.
Recursive Rule for Arithmetic Sequence

3. Finding the nth Term Given an Arithmetic Sequence
Write a rule for the nth term of the sequence and find a15.

4. Finding the nth Term Given an Arithmetic Sequence
Write a rule for the nth term of the sequence and find a15.

5. Finding the nth Term Given an Arithmetic Sequence
Write a rule for the nth term of the sequence and find a15.

6. Finding the nth Term Given an Arithmetic Sequence
Write a rule for the nth term of the sequence and find a15.

7. Writing a Recursive Rule for an Arithmetic Sequence
Write the recursive rule for the nth term of the sequence.

8. Writing a Recursive Rule for an Arithmetic Sequence
Write the recursive rule for the nth term of the sequence.

9. The sum of the first n terms of an arithmetic series is
Because many sequences are infinite and do not have defined sums, we often find partial sums. A partial sum, indicated by Sn, is the sum of a specified number of terms of a sequence.
The sum of the first n terms of an arithmetic series is
where a1 is the first term and an is the nth term .
General Rule for Sum of an Arithmetic Series

10. Finding the Sum of an Arithmetic Series
Find the sum of the first n terms of the arithmetic series..

11. Finding the Sum of an Arithmetic Series
Find the sum of the first n terms of the arithmetic series..

12. Lesson 5.2 Practice A