Fractional Generating Function from The Square Root of Two with A-B Goen Numbers
DOI:
https://doi.org/10.21512/emacsjournal.v4i1.8073Keywords:
Numbers, Functions, Square Root of Two, Irrational NumbersAbstract
The square root of two is an irrational number that cannot be written as a fraction of the numerator and denominator. By using the generating function of A-B Goen, from the resulting set of numbers, the sequence of A-B Goen numbers can be obtained by selecting integer numbers. The A Goen numbers are generated from the generator function which have integer numbers, while the B Goen numbers are obtained from the sequence numbers. In this study, through the generating function of A-B Goen, it can be proven that the division between the A Goen number and the B Goen number in an infinite sequence will result the value of the square root of two.
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