By Edgar M Alexander
Direct Proof…An replacement To
evidence by means of Induction
The major objective of this paper is to introduce the reader to an alternative choice to facts through induction. whereas this rfile isn't really intended to interchange present fabric at the topic, it does supply new, cutting edge strategies. My rfile will introduce the reader to a mode of defining all Fibonacci numbers with a unmarried parameter. the results of this enables formulation to be confirmed without delay. Proofs are for this reason simply understood. As a lecture room device 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 could 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
and
F2n+1 = (F2n + (5 * F22n + 4)½) / 2
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Fibonacci-Like-Sequences A Scientific Approach by Edgar M Alexander
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