By Edgar M Alexander
Direct Proof…An substitute To
evidence via Induction
The major function of this paper is to introduce the reader to a substitute for evidence via induction. whereas this rfile isn't intended to exchange present fabric at the topic, it does supply new, cutting edge ideas. My rfile will introduce the reader to a style of defining all Fibonacci numbers with a unmarried parameter. the results of this permits formulation to be confirmed at once. Proofs are consequently simply understood. As a school room instrument for instructing Fibonacci numbers and Lucas numbers, this paper is a necessity.
Beyond that, an analogous rules are prolonged to the universe of all Fibonacci-like sequences. The reader might be capable of discover relationships of different comparable sequences.
Two formulation utilized in the improvement of this paper have been really created and copyrighted in one other of my manuscripts, looking for Pi. while given F(n), F(n + 1) might be computed precisely and without delay as follows:
F2n = (F2n−1 + (5 * F22n−1 − 4)½) / 2
F2n+1 = (F2n + (5 * F22n + 4)½) / 2
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Fibonacci-Like-Sequences A Scientific Approach by Edgar M Alexander