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Full-Text Articles in Physical Sciences and Mathematics
An Analysis Of The Sequence Xn+2 = I M Xn+1 + Xn, David Duncan, Prashant Sansgiry, Ogul Arslan, Jensen Meade
An Analysis Of The Sequence Xn+2 = I M Xn+1 + Xn, David Duncan, Prashant Sansgiry, Ogul Arslan, Jensen Meade
Journal of the South Carolina Academy of Science
We analyze the sequence Xn+2 = imXn+1 + Xn, with X1 = X2 = 1 + i, where i is the imaginary number and m is a real number. Plotting the sequence in the complex plane for different values of m, we see interesting figures from the conic sections. For values of m in the interval (−2, 2) we show that the figures generated are ellipses. We also provide analysis which prove that for certain values of m, the sequence generated is periodic with even period.
Augmented Happy Functions Of Higher Powers, Marcus Harbol, Breeanne B. Swart
Augmented Happy Functions Of Higher Powers, Marcus Harbol, Breeanne B. Swart
Journal of the South Carolina Academy of Science
No abstract provided.