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April 23rd, 2014, 07:44 AM   #1
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Arithmetic and Geometric progression.

Who knows the history of these progression?
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April 23rd, 2014, 08:00 AM   #2
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Euclid dealt with some properties of geometric progressions in his Elements. Books VIII and IX, I'm told.

Arithmetic series will be even older.
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April 23rd, 2014, 08:08 AM   #3
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Carl Friedrich Gauss, a german mathematician can be credited for the discovery of sum of n terms formula of Arithmetic Progression.
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April 23rd, 2014, 08:12 AM   #4
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I very much doubt that he was the first to come up with it, even though the story does illustrate his brilliance.
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April 23rd, 2014, 12:37 PM   #5
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Quote:
Originally Posted by luke97 View Post
Carl Friedrich Gauss, a german mathematician can be credited for the discovery of sum of n terms formula of Arithmetic Progression.
Quote:
Originally Posted by v8archie View Post
I very much doubt that he was the first to come up with it, even though the story does illustrate his brilliance.
It dates back at least to Boethius around year 500. See book 2 of De Institutione Arithmetica. If anyone has an earlier reference I would very much appreciate hearing about it! It has to be much older than this -- at a minimum, surely Nicomachus knew the formula -- but I haven't found anything in my dilettante searches so far.

Last edited by CRGreathouse; April 23rd, 2014 at 12:40 PM.
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April 23rd, 2014, 12:42 PM   #6
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Quote:
Originally Posted by luke97 View Post
Carl Friedrich Gauss, a german mathematician can be credited for the discovery of sum of n terms formula of Arithmetic Progression.
Your information is slightly garbled. There is a story about Gauss, when he was a school boy, coming up with the formula, when the teacher first introduced arithmetic progressions to the class.

Tellings of the Gauss Anecdote
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