Sum of all natural numbers is still -1/8? - demonstrating through the geometric series
Mathcraft.ru
2016-03-19
Views 7
This video shows that sum of all natural numbers can be represented as an infinite geometric series of all the powers of 9:
1+2+3+4+... = 1+9+81+729+...
Then this formula for an infinite geometric series is applied:
1/(1-x) = 1+x+x^2+x^3+x^4+...
and the result
1+2+3+4+...= -1/8
is demonstrated again.
1+2+3+4+... = 1+9+81+729+...
Then this formula for an infinite geometric series is applied:
1/(1-x) = 1+x+x^2+x^3+x^4+...
and the result
1+2+3+4+...= -1/8
is demonstrated again.
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