Show that the numbers of the form:
444444....4444888888....8889
[Where there are 'k' Fours, '(k-1)' Eights and 'Exactly One' 9],
are always perfect squares.
(For example the sequence of numbers: 49, 4489, 444889, ....etc. and so on are always perfect squares).
(In reply to
re: solution by Ravi Raja)
I was thinking about 4((10^x)+2)*(x 1s) + 1 for how to do that sequence.
('x 1s' is the sum of (10^x)+(10^x-1)+...+(10^1))
Would that help at all or is it too complicated?
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Posted by Gamer
on 2003-04-06 04:44:16 |