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uestion The sequence of Fibonacci numbers has very interesting properties and is used in many great problems in science and mathematics. The Fibonacci sequence is defined as following: F1 = 1 E, = Fn-1 + Fn-2 for any n 3 That is, the first two numbers of the sequence are 1 and every other number is the sum of the previous two numbers in the sequence. So, the sequence looks like the following 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,.. Using induction, prove the following property of the Fibonaceci numbers. For any 112 1 , Fn