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Sequences and series.... 
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#1
Nov704, 02:22 PM

P: 236

My text book says that a progression is another name for a series, but the dictionary says it is another name for a sequence  which is it?



#2
Nov704, 02:57 PM

P: 545

progression:
3. A continuous series; a sequence. The American HeritageŽ Dictionary of the English Language I think it is both. 


#3
Nov704, 03:42 PM

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A sequence is an ordered set of terms, {[itex]t_i[/itex]}
A series is a sum of terms, [itex]\sum t_i[/itex] Mathworld defines a 'progression' as synonymous with 'sequence'. PS : An English dictionary does not necessarily know the mathematical difference between a sequence and a series. 


#4
Nov904, 10:45 AM

P: 62

Sequences and series....
A series is a special kind of sequence.
if your sequence is x1, x2, x3, x4, x5... then the series it produces is x1, x1+x2, x1+x2+x3, x1+x2+x3+x4, ... which we can relabel as y1, y2, y3, y4, ... and this is a new sequence. so if a progression is a series, then it is automatically a type of sequence. Also, there are arithmetic progressions, geometric progressions, and others. My idea of progression is any sequence, including the special sequence called a series. Aaron 


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