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Power of two (Posted on 2010-05-12) Difficulty: 4 of 5
Given a sequence of of natural numbers a1, a2, a3, ... such that a1 is not a multiple of 5 and a(n+1)=a(n)+(the last digit of a(n)).

Prove that this sequence contains infinitely many integer powers of 2.
Ex: 33,36,42,44,48,56,62, 64,....128,.....256 etc

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

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  Subject Author Date
SolutionProof.Jer2010-05-12 15:26:52
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