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b. 156a.

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Algebra 2 9.5 - Geometric Series

Geometric Sequence vs. Geometric Series

1, 2, 4, 8, 16 1+2+4+8+16

The sum of the first n terms of ageometric series is given by

where

Finite Geometric Series

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10.

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th

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a. b.

c. d.

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Sum of an infinite geometric series:

for which

Infinite Geometric Series

*The sum of an infinite geometric series

formula only works when is between -1 and 1.

is not between -1 and 1, we say the sum

does not exist.

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Why does an infinite geometric sum only exist

for

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Example 5: Find the sum of each infinite geometric series,if it exists.

a. b.

d.c.

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Example 6: Find the sum of each infinite geometric series,if it exists. (Note: They are not the same!)

a. b.

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Example 7: Evaluate the following, if possible.

a. b.

c. d.