9.5 Series.

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Presentation transcript:

9.5 Series

What you’ll learn about Summation Notation Sums of Arithmetic and Geometric Sequences Infinite Series Convergence of Geometric Series … and why Infinite series are at the heart of integral calculus.

Summation Notation

Sum of a Finite Arithmetic Sequence

Example Summing the Terms of an Arithmetic Sequence

Example Summing the Terms of an Arithmetic Sequence

Example Summing the Terms of an Arithmetic Sequence

Example Summing the Terms of an Arithmetic Sequence … …

Example Summing the Terms of an Arithmetic Sequence

Example Summing the Terms of an Arithmetic Sequence

Sum of a Finite Geometric Sequence

Infinite Series

Sum of an Infinite Geometric Series

Example Summing Infinite Geometric Series

Example Summing Infinite Geometric Series

Quick Review

Quick Review Solutions