Arranging Integers Into Columns

geekily

Junior Member
Joined
Jan 24, 2007
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93
Ok, it turns out I didn't know how to do more of these then I thought... I figured I'd just go to the math tutoring center before class tomorrow, but apparently they don't offer tutoring for my class on a walk-in basis. Serves me right for waiting til the last minute.

The integers greater than 1 are arranged as shown:

Code:
Row 1:  2   3   4   5
Row 2:  9   8   7   6
Row 3: 10  11  12  13
Row 4: 17  16  15  14
I need to find out which columns 100, 1000, 1999, and 99,997 will fall into.

All I can figure out is that, for example, 100 has to be in the 2nd or 4th because it's even. The book says it's the 4, 6, 12, 14 column, but I don't know why. I can just write the chart out to 100 to figure that out, but obviously 99,997 might take me a bit longer. I'd really appreciate your help! Thanks!
 
Hint: Can you find a pattern in the first column? Can you relate that pattern to the target values?

Eliz.
 
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