could anyone tell me the history of arithmetic and geometric progression?

Answer 1

Of course, to get a detailed sense of this history, you would need to check some books on the history of mathematics (two i would recommend are the ones by Boyer and by Burton), or good ol' Wikopedia, as suggested above.

But here is a famous anecdote. Back in the 19th century, a schoolmaster wanted to keep his grade school class busy while he attended to other matters. So told them to add up the numbers from 1 to 100. After a short period of time, one little tyke came up with the correct answer. The teacher figured he must have learned the answer from some older boy who had been in his class in the past.

So the teacher, feeling a bit miffed, then told this kid to add up the numbers from 1 to 1000, figuring that would keep him busy for awhile. After just a few seconds, the kid had that sum worked out as well.

The child was Carl Friedrich Gauss, and he figured out how to add arithmetic progressions when he was in the fourth grade. He grew up to be one of the greatest mathematicians of all time..

Answer 2

History of 'mathematics' begin from 'pure arithmetic's'!.

In fact 'arithmetic's' is straightforward number application!

Until people track back 'up to the source of Vedic mathematics' or at least up to beginning of number zero simplest form of arithmetic's will remain hidden!

You may read for a correct zero awareness!

Answer 3

i don't think the exact history is know, but the greeks knew about them. Evidence is found in Euclid's "Elements" (approx 300 B.C.)

Answer 4

try searching the wikipedia.com