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A number sequence is an ordered set of numbers. There may be a simple or complicated rule defining the sequence or it may be purely random.
If a1, a2, a3, ... is a number sequence, then define
S1 = a1,
S2 = a1 + a2,
S3 = a1 + a2 + a3,
...
Sn = a1 + a2 + a3 + ... + an , etc
then Sn is a number series.
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464
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