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

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

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

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

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

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

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

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

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

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

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

Lesson 5.2 Practice A