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Please tell me how you got the answer.
Here we use Riemann Zeta function:
Zeta(s)= 1/1^s + 1/2^s + 1/3^s + ...
Taking s= -1 we get:
Zeta(-1) = 1 + 2 + 3 + 4+ ... and Zeta(-1) = -1 / 12
What is wrong here?
1+2+3+4+5+.....n=n(n+1)/2=(n²+n)/2
but 1+2+3+4+5.......=+infinity
1+2+3+4+...+n=(1+2+3+...+n+n+n-1+....+2+1)/2 = n(n+1)/2
sum of N natural numbers is N * (N + 1) / 2 . Just put your N value in the formula and calculate the answer. Thanks.
Riemann Zeta is working only for complex numbers where real part of "s" is greater than 1. "s" can't be "-1". you are trying to mix two unmixables theories. Patrick Kintu has given you correct answer.
one upon Twelve in Negative
n(n+1)/2 n=last digit as the digits are in AP