Recall that the Fibonacci sequence {xn} is defined by 1, x1 = 1, xn+2 = xn + xn+1, for all n > 0. Show that each of the following are true: 1 1 1 a) Xn-1Xn+1 Xn-1Xn Xnxn+1 1 b) = 1 Xn-1Xn+1 n=1 c) = 2 Xn-1Xn+1 n=1

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