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Casio fx-9860g/fx-CG 50: Binomial Series - Eddie W. Shore - 03-20-2020 12:41 PM
Generating The Binomial Series
The binomial series (1 + b*x)^a can be generated by the series:
(1 + b*x)^a = 1 + a*b*x + a*(a-1) / 2! * (b*x)^2 + a*(a-1)*(a-2) / 3! * (b*x)^3 + ....
= ∑ ( a NCR k) * (b * x)^k for k = 0 from ∞
where:
(a NCR k) = (a * (a - 1) * (a - 2) * ... * (a - k + 1) ) / k!
The values a and b can be complex and do not have to be integers.
If a is not a positive integer, the series continues on indefinitely.
Output: List 5 has the coefficients. The program BINOMSRS calculates the coefficients and any approximation of that series (f(x)).
The program listing and download can be found: http://edspi31415.blogspot.com/2020/03/casio-fx-9860g-and-fx-cg-50-binomial.html