Difference between revisions of "2018 UNCO Math Contest II Problems/Problem 11"
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== Problem == | == Problem == | ||
| − | + | (a) Find an integer <math>n > 1</math> for which <math>1 + 2 + \ldots + n^2</math> is a perfect square. | |
| − | + | (b) Show that there are infinitely many integers <math>n > 1</math> that have the property that | |
| + | <math>1 + 2 + \ldots + n^2</math> is a perfect square, and determine at least three more examples of such <math>n</math>. | ||
| + | Hint: There is one approach that uses the result of a previous problem on this contest. | ||
== Solution == | == Solution == | ||
Revision as of 00:32, 14 January 2019
Problem
(a) Find an integer 
for which 
is a perfect square.
(b) Show that there are infinitely many integers that have the property that
is a perfect square, and determine at least three more examples of such 
.
Hint: There is one approach that uses the result of a previous problem on this contest.
Solution
See also
| 2018 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
[[Category:]]
