Difference between revisions of "2024 AMC 8 Problems/Problem 4"
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==Video Solution 1 (easy to digest) by Power Solve== | ==Video Solution 1 (easy to digest) by Power Solve== | ||
https://youtu.be/HE7JjZQ6xCk?si=sTC7YNSmfEOMe4Sn&t=179 | https://youtu.be/HE7JjZQ6xCk?si=sTC7YNSmfEOMe4Sn&t=179 | ||
+ | |||
+ | ==See Also== | ||
+ | {{AMC8 box|year=2024|num-b=1|num-a=5}} | ||
+ | {{MAA Notice}} |
Revision as of 13:33, 26 January 2024
Problem
When Yunji added all the integers from to
, she mistakenly left out a number. Her incorrect sum turned out to be a square number. What number did Yunji leave out?
Solution 1
The sum of the numbers from to
is
Denote the number left out when adding to be
. Thus,
is a perfect square. We could rigorously solve the values of
such that
is a perfect square. We also know that
must be between
and
inclusive, so the answer is
.
-rnatog337
Video Solution 1 (easy to digest) by Power Solve
https://youtu.be/HE7JjZQ6xCk?si=sTC7YNSmfEOMe4Sn&t=179
See Also
2024 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.