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Plot of a Geometric Sequence and Its Partial Sums
This graph plots terms of a geometric sequence as well as the partial sums of the related geometric series. You can show that both the sequence and the sums converge if and only if
.
Contributed by:
Aaron Dunigan AtLee
THINGS TO TRY
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RELATED LINKS
Geometric Series
(
Wolfram
MathWorld
)
Geometric Sequence
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Plot of a Geometric Sequence and Its Partial Sums
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PlotOfAGeometricSequenceAndItsPartialSums/
Contributed by:
Aaron Dunigan AtLee
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSA-SSE.B.4
HSF-BF.A.2
HSF-LE.A.2