A sequence a1, a2, a3, . . . is defined by a1 = 1, a2 = 2, a2+1 = a + a+1 and a2+2 = a+1
Chapter 7, Problem 25(choose chapter or problem)
A sequence a1, a2, a3, . . . is defined by a1 = 1, a2 = 2, a2+1 = a + a+1 and a2+2 = a+1 for 1. Prove that gcd(an, an+1) = 1 for every positive integer n.
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