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Series and Summation Notation

Series and Summation Notation. Essential Questions. 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. General Rule for Arithmetic Sequence. Recursive Rule for Arithmetic Sequence.

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Series and Summation Notation

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  1. Series and Summation Notation Essential Questions • 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. General Rule for Arithmetic Sequence Recursive Rule for Arithmetic Sequence The nth term of an arithmetic sequence is where a1 is the first term and d is the common difference. 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.

  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. 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. General Rule for Sum of an Arithmetic Series The sum of the first n terms of an arithmetic series is where a1 is the first term and an is the nth term .

  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

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