KindofSlow
Junior Member
- Joined
- Mar 5, 2010
- Messages
- 90
In the beginning of the binomial series where:
for (1+x)^k, Series = 1 + kx + (k(k-1))/2!*x^2 + (k(k-2))/3!*x^3...
It seems to me that the numerator of the 3rd term of k(k-1) should be in the second term of the series instead of the third.
I think this because k(k-1) is the 2nd term of k! so should be in the 2nd term of series.
Is there a simple or obvious or intuitive reason why my thinking is flawed?
As always, any insight is greatly appreciated.
Thank you
for (1+x)^k, Series = 1 + kx + (k(k-1))/2!*x^2 + (k(k-2))/3!*x^3...
It seems to me that the numerator of the 3rd term of k(k-1) should be in the second term of the series instead of the third.
I think this because k(k-1) is the 2nd term of k! so should be in the 2nd term of series.
Is there a simple or obvious or intuitive reason why my thinking is flawed?
As always, any insight is greatly appreciated.
Thank you