infintie sigma notation
DESCRIPTION
InfiniteTRANSCRIPT
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Infinite Series
An infinite series has an infinite number of terms.
The sum of the first n terms, Sn , is called a partial sum.
If Sn tends to a limit as n tends to infinity, the limit is called the sum to infinity of the
series.
Arithmetic series
As n tends to infinity, Sn tends to
The sum to infinity for an arithmetic series is undefined.
Geometric series
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When r > 1, rn tends to infinity as n tends to infinity.
When r < 1, rn tends to zero as n tends to infinity.
The sum to infinity for a geometric series is undefined
when
The sum to infinity for a geometric series
when
is