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9.5 Geometric Series.notebook
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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.