0

Through the process of reducing the product of the numbers 10-1 raised to the 2nd power, 3rd power, 4th power, and 5th power, I have come across a pattern which reflects the result of factorials!

[At this time, please do review my work in the attached excel documents]

In this way, I have created a "formula" that requires professional revision. To be specific, I want to know how these two form of mathematics would be applied to a problem, and what type of problems would favor one over the other - enter image description hereand vice versa.

Parcly Taxel
  • 101,001
  • 20
  • 110
  • 191
John Parsons
  • 1
  • It's quite tricky to go through the table and to try to see exactly what you have done and what the pattern is. I would recommend you approach the question algebraicly, by looking at numbers of the form $b^n$, where $b$ is the base and $n$ is the exponent. You are then looking at the numbers of the form $b^n - (b-1)^n$ etc ... If you write your expressions on paper like this, perhaps you'll get some insight to the pattern that you have discovered, and why such a pattern occurs. – Matti P. Oct 26 '18 at 06:16
  • 2
    Possible duplicate of [Repeatedly taking differences on a polynomial yields the factorial of its degree?](https://math.stackexchange.com/questions/2319210/repeatedly-taking-differences-on-a-polynomial-yields-the-factorial-of-its-degree) – Chris Culter Oct 26 '18 at 06:17
  • 1
    See in particular user21820's answer, which speaks to applications: https://math.stackexchange.com/a/2319671/87023 – Chris Culter Oct 26 '18 at 06:18

0 Answers0