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Arithmetic Series
To find the sum of the terms in an arithmetic sequence, it is possible to calculate the sum instead of summing all the individual terms.
Contributed by:
Daniel de Souza Carvalho
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Let the arithmetic sequence be
and the sum of the arithmetic series be
.
Then the sum of the first
terms is:
.
RELATED LINKS
Arithmetic Series
(
Wolfram
MathWorld
)
Arithmetic Progression
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Arithmetic Series
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ArithmeticSeries/
Contributed by:
Daniel de Souza Carvalho
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSF-BF.A.2
HSF-LE.A.2