Register to reply

Sequences and series....

by Cheman
Tags: sequences, series
Share this thread:
Nov7-04, 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?
Phys.Org News Partner Science news on
Physical constant is constant even in strong gravitational fields
Montreal VR headset team turns to crowdfunding for Totem
Researchers study vital 'on/off switches' that control when bacteria turn deadly
Nov7-04, 02:57 PM
kreil's Avatar
P: 547
3. A continuous series; a sequence.
-The American HeritageŽ Dictionary of the English Language

I think it is both.
Nov7-04, 03:42 PM
Sci Advisor
PF Gold
Gokul43201's Avatar
P: 11,155
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.

Nov9-04, 10:45 AM
P: 62
Cool 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 re-label 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.

Register to reply

Related Discussions
Divergent Harmonic Series, Convergent P-Series (Cauchy sequences) Calculus & Beyond Homework 1
Sequences Series geometric series or an arithmetic series? General Math 14
Sequences and series Precalculus Mathematics Homework 5
Uses of Sequences and Series Calculus & Beyond Homework 5
Sequences and Series Introductory Physics Homework 4