Difference between revisions of "2007 Alabama ARML TST Problems/Problem 7"
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==See also== | ==See also== | ||
+ | {{ARML box|year=2007|state=Alabama|num-b=6|num-a=8}} | ||
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[[Category:Intermediate Number Theory Problems]] | [[Category:Intermediate Number Theory Problems]] |
Revision as of 10:17, 15 September 2008
Problem=
Find the number of distinct integers in the list
where represents the greatest integer less than or equal to
.
Solution
The first time that the difference of two consecutive squares is greater than or equal to 2007 is . Below
, every non-negative integer can be reached. Then above that, each number is distinct. So there are
distinct integers in the given list.
See also
2007 Alabama ARML TST (Problems) | ||
Preceded by: Problem 6 |
Followed by: Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |