How The Factorial Function came into Existence.

A note on the Factorial Function

Write down 0,1,2,3,4,5 and  put parallel square of each number like 0,1,4,9,16,25, then start to subtract the bigger one to the lower one (1–0),(4–1),(9–4),(16–9) and (25–16) to get 1,3,5,7,9 and again subtract the bigger one to the lower one (3–1),(5–3),(7–5) and (9–7) to get (2,2,2,2).

Again we squared each number, at the same time we cubed each number (0,1,8,27,64,125,216) and the  same procedure follows, subtract the bigger one to the lower one (1–0),(8–1),(27–8),(64–27) ,(125–64) and(216–125) to get (1,7,19,37,61,91) and again (7–1),(19–7),(37–19),(61–37) and (91–61), to get (6,12,18,24,30) same again(12–6),(18–12),24–18) and (30–24)  till the result come out here we get (6,6,6,6).
At the same time if we do it again for 4 and 5 (power).When we get 2 for 2 ,6 for 3 ,24 for 4 and 120 for 5. The result is the factorial function.
factorial2.jpg
No corresponding comment


X
You’ve spoken and we’ve listened! We are excited to announce that the same great knowledge platform that you have come use and love over the years will be going through a rebrand and an upgrade. We believe that all good things don’t come to an end, but only evolve to be better. WikiOmni will now officially be called Knowpia. Please make sure your access is now directed to KNOWPIA.COM from all of your devices. In an effort to enhance the overall user experience, over the course of the next few months you will see a new and improved design layout with value-added features and advancements in functionality. Through extensive research & development, we know you will be happy with the new direction that we are taking to continue our vision to assemble the world’s largest platform of knowledge contributors. We thank you for taking this incredible journey with us!