How many 3 digits number are there such that their digits are not in an arithmatic progression with positive difference?
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The only three digit numbers with all different digits whose digits are
in GP that we can subtract 400 from and get a positive number
are:
421,842,931
421−400=21, not a three-digit number, so 421 is out
842−400=442, 4,4,2 are not in AP, so 842 is out
931−400=531, 5,3,1 are in AP with common difference -2.
So the number is 931
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