Saturday, September 10, 2022

Further to earlier post

In my earlier post we saw how 3 consecutive numbers taken as numbers and factorial gave us important results. 

The earlier post had infinite series. 

In this post I show how 3 consecutive numbers taken as numbers and factorial give important results.  In binomial. 




I have checked the correctness of the expressions in Wolfram Alpha. I am attaching the Wolfram Alpha screenshots too.








Have a nice day!!

1 comment:

Kirtivasan Ganesan said...

One can see that 3 consecutive numbers are so powerful.
Not just as numbers.
But also in factorial. Or gamma function.
That is why birds are so powerful in their systems. No doubt they can fly.
Humans have 3 consecutive numbers and 4 too.
The beauty of 4 consecutive numbers is approximations.
By using the approximations advantage that humans have, man has made planes.
The beauty of nature is very evident in the consecutive number models.
I suggest Modi government to include it in syllabus. Slowly Indian students will grasp the basics of consecutive numbers and they will become lion like men.