| You are Unregistered, please register to gain Full access. | 
|
| You are Unregistered, please register to gain Full access. |
|
 |
|
|||||||
| Notices |
Discovery of Arithmatic ProgressionDiscuss Discovery of Arithmatic Progression at the Student Zone; Hi Friends Sir Issac Newton had discovered the Arithmatic Progressio, popularly known as A.P. It ... |
 |
|
|
Thread Tools |
08-09-2007, 06:35 PM
|
||||
|
||||
|
Discovery of Arithmatic Progression
Hi Friends
Sir Issac Newton had discovered the Arithmatic Progressio, popularly known as A.P. It all happened that when Sir Newton was a kid, his Maths. Teacher, during taking the class, wanted to sleep a bit. So, he asked a maths. problem to the kids to solve. The problem was - He asked the boys to write numbers from 1,2,3 ...> 100. And then add it up in the manner, 1+2=3+3=6+4=10... upto 100. The teacher had though it will take sufficient time for the boys to finish so that he could sleep. But there was a boy called, Newton. He finihsed it in no time and showed it to the teacher. Teacher was surprised and asked Newton to demonstrated the way he cud do it to the class. Newton showed - First he wrote 1,2,3,4,5,6,7,8,9,10 in a serial order. Then he added the first number 1 to the last number 10. That means 1+10 = 11 Similary he added second number 2 to the last but one 9: that means 2+9 = 11 then...3+8 = 11 4+7 = 11 Finally 5+6 = 11 We get 5 sets of 11 So, from 1 through 10, we we add the number together, it will be 11 x 5 = 55 In the same method betwee 1 through 100, if we add up first number with last number, and subsequent numbers with the last but ones, twos... (e.g. 1+100 = 101, 2+99=101), then we get 50 sets of 101. And the total between 1 to 100 will be 101 x 50 = 5050 And the formula for Arithmatic Progression was derived from this method which is A = N(N+1)/2, where N is the given number. If we put N = 100, then the solution will be A = 100(100+1)/2 = 50 x 101 = 5050. Last edited by sikandar107; 08-09-2007 at 10:38 PM. 
|
| Sponsored Links |
|
08-09-2007, 07:47 PM
|
||||
|
||||
|
A very intresting read.
I learned AP and gp when i was in 6th
|
|
08-10-2007, 06:01 AM
|
||||
|
||||
|
very nice and informative...thanks sikandar...
|
|
08-10-2007, 10:25 AM
|
||||
|
||||
|
Thanks mytonse for liking and appreciating.
|
|
08-10-2007, 10:26 AM
|
||||
|
||||
|
Volvo - Thanks bro.
|
|
08-11-2007, 06:30 AM
|
||||
|
||||
|
Most Welcome Sikander..
P.S.-Call me Yunus.
|
|
| Bookmarks |
| Thread Tools | |
|
|
Similar Threads
|
||||
| Thread | Thread Starter | Forum | Replies | Last Post |
| Amazing discovery!!!!!!!! only for the intelligent DT members!!!!!!!!! | baaz | Desi Noke Joke | 12 | 06-24-2006 01:54 PM |
