Define a sequence of ordered pairs (x;, y;) as follows: (xo, Yo) = (3,1) %3D Xn+1 = 3xn + 4yn, n > 0 Yn+1 = 2xn + 3yn, n > 0 rove that for every n 2 0, (xn, Yn) satisfies the equation x2 – 2y2 = 7. %3D
Define a sequence of ordered pairs (x;, y;) as follows: (xo, Yo) = (3,1) %3D Xn+1 = 3xn + 4yn, n > 0 Yn+1 = 2xn + 3yn, n > 0 rove that for every n 2 0, (xn, Yn) satisfies the equation x2 – 2y2 = 7. %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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