Binomial Series Calculator, with any exponent, including fractional or negative.
Algebra - investigating the use of the Binomial Series formula for any exponent, including fractional or negative. With this interactive Java™ applet you can vary the fraction coefficients of the variable x, and the fraction exponent. You can examine the first five terms of the series, with full working for each term.
Author and programmer: Ron Barrow
UK Years 12-13, Ages 16 - 19, KS5, A2 Level GCE Mathematics - Algebra
How to Use this Applet
This applet is a calculator for simple binomial series expansions of the type (1 + ax) to the power of n, where a and n are fractions. You can investigate the first 5 terms of the series expansion.
On the screen you can change the numbers in the five boxes by clicking inside them and dragging left or right with your mouse or pointer. You can change numerators from -10 to 10, denominators from 1 to 10.
The program displays the series term-by-term, and you can look at different terms using the fifth changeable box labelled t, which varies from 1 to 5.
The calculations are shown for each term. You use the applet as a calculator, or just learn by looking at how binomial expansions work. Enjoy!