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3 causes 7 (Posted on 2012-03-10) Difficulty: 2 of 5
Show that if a*n^2 + b*n + c (a, b, and c are integers)is divisible by seven for three consecutive integers, then it is divisible by seven for all integers.

  Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)
Solution: (Hide)
It can be easily shown that the integers a, b and c must be multiples of 7 (see Bractal's proof)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/Tipsmy error in the officially published solutionAdy TZIDON2012-04-21 03:06:25
Some ThoughtsA definitionbroll2012-03-11 01:34:26
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