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!
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!
Interesting...I didn't know the Carl Gauss part.
You didn't tell me that when I posted a similar question as anonymous, geno3141!