Let {x n }, n 0, be a sequence of nonzero real numbers such that x

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Let {xn}, n ≥ 0, be a sequence of nonzero real numbers
such that x2n - xn-1 Xn+1 = 1 for n = 1, 2, 3, . . . . Prove
there exists a real number a such that Xn+1 = axn - xn-1 for all n ≥ 1.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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