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Homework Questions

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Arithmetic Series Mrs. Ramsey

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Arithmetic Series A series is the expression for the SUM of the terms in a sequence. Finite sequences and series have terms you can count individually from 1 to a final whole number, n. Infinite sequences and series continue without end. (infinity)

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**Examples Finite Sequence: Finite Series: Infinite Sequence:**

6, 9, 12, 15, 18 Finite Series: Infinite Sequence: 3, 7, 11, 15… Infinite Series: …

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**Finite Sequence 2, 11, 20, 29, 38, 47 Write the related series:**

Evaluate the series:

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**Sum of a Finite Arithmetic Series:**

An arithmetic series is a series whose terms form an arithmetic sequence. Sum of a Finite Arithmetic Series: a1: 1st term an: nth term n: number of terms

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Example: Find the sum: 1, 3, 5, 7 DON’T just add…use the formula

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Summation Notation

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**Write the series in summation notation:**

…for 33 terms …for n=6 …for n=9

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**Find the sum of the series:**

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Homework WORKSHEET

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