Sum of all natural numbers is still -1/8? - demonstrating through the geometric series
- 8 лет назад
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.