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Multiplication Table (Posted on 2006-07-07) Difficulty: 3 of 5
Imagine a multiplication table (like the one below, except it continues on forever):

   1   2   3   4     
 +---+---+---+---+---
1| 1 | 2 | 3 | 4 |...
 +---+---+---+---+---
2| 2 | 4 | 6 | 8 |...
 +---+---+---+---+---
3| 3 | 6 | 9 | 12|...
 +---+---+---+---+---
4| 4 | 8 | 12| 16|...
 +---+---+---+---+---
 |...|...|...|...|...

Find three of the same number in a straight line somewhere within the table. If this is not possible, show why not.

No Solution Yet Submitted by tomarken    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Getting less rigorous (spoiler) | Comment 4 of 12 |
(In reply to re: Getting less rigorous (spoiler) by Jyqm)

Thanks jqym, right you are.

In fact, now that you mention it, I notice that a straight line can cross three boxes that have 8's also.  As previous noted, it doesn't go through all three of their centers.
  Posted by Steve Herman on 2006-07-07 14:00:35

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