All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionProof.Jer2010-05-12 15:26:52
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information