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1+2+3 so on until 100 = ? in less then 2 minutes

 Nov 14, 2014

Best Answer 

 #1
avatar+23254 
+11

A series is called "arithmetic" if successive terms have a common difference.

This means, that when you subtract the first term from the second (2 - 1 = 1) and the second from the third

(3 - 2 = 1), the third from the fourth (4 - 3 = 1), etc., you always get the same answer. 

The sum of a finite arithmetic series is:  Sum = N(F + L) / 2

   N = number of terms = 100        F = first term = 1        L = last term = 100

Sum = 100(1 + 100)/2   --->   Sum = 100(101)/2   --->   Sum = 5050

This formula was created by mathematician Carl Gauss when he was in elementary school!

 Nov 14, 2014
 #1
avatar+23254 
+11
Best Answer

A series is called "arithmetic" if successive terms have a common difference.

This means, that when you subtract the first term from the second (2 - 1 = 1) and the second from the third

(3 - 2 = 1), the third from the fourth (4 - 3 = 1), etc., you always get the same answer. 

The sum of a finite arithmetic series is:  Sum = N(F + L) / 2

   N = number of terms = 100        F = first term = 1        L = last term = 100

Sum = 100(1 + 100)/2   --->   Sum = 100(101)/2   --->   Sum = 5050

This formula was created by mathematician Carl Gauss when he was in elementary school!

geno3141 Nov 14, 2014
 #2
avatar+1090 
+8

Interesting...I didn't know the Carl Gauss part.

You didn't tell me that when I posted a similar question as anonymous, geno3141!

 Nov 14, 2014
 #3
avatar+118703 
0

Gino cannot give away all his knowledge in one go mathematician.

It is like treasure - it is more fun when you dig for it.     LOL

 Nov 14, 2014

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