| 2861 |
AIME 2009 I Q13 |
The terms of the sequence \( (a_i)\) defined by \(... |
1500.00 |
| 2862 |
AIME 2009 I Q14 |
For \( t = 1, 2, 3, 4\), define \( \displaystyle S... |
1500.00 |
| 2863 |
AIME 2009 II Q1 |
Before starting to paint, Bill had \( 130\) ounces... |
1500.00 |
| 2864 |
AIME 2009 II Q2 |
Suppose that \( a\), \( b\), and \( c\) are positi... |
1500.00 |
| 2865 |
AIME 2009 II Q3 |
In rectangle \( ABCD\), \( AB=100\). Let \( E\) be... |
1500.00 |
| 2866 |
AIME 2009 II Q4 |
A group of children held a grape-eating contest. W... |
1500.00 |
| 2867 |
AIME 2009 II Q6 |
Let \( m\) be the number of five-element subsets t... |
1500.00 |
| 2868 |
AIME 2009 II Q9 |
Let \( m\) be the number of solutions in positive ... |
1500.00 |
| 2869 |
AIME 2009 II Q10 |
Four lighthouses are located at points \( A\), \( ... |
1500.00 |
| 2870 |
AIME 2009 II Q11 |
For certain pairs \( (m,n)\) of positive integers ... |
1500.00 |
| 2871 |
AIME 2009 II Q14 |
The sequence \( (a_n)\) satisfies \( a_0 = 0\) and... |
1500.00 |
| 2872 |
AIME 1984 I Q1 |
Find the value of \(a_2 + a_4 + a_6 + \dots + a_{9... |
1500.00 |
| 2873 |
AIME 1984 I Q2 |
The integer \(n\) is the smallest positive multipl... |
1500.00 |
| 2874 |
AIME 1984 I Q3 |
A point \(P\) is chosen in the interior of \(\tria... |
1500.00 |
| 2875 |
AIME 1984 I Q5 |
Determine the value of \(ab\) if \(\log_8 a + \log... |
1500.00 |
| 2876 |
AIME 1984 I Q6 |
Three circles, each of radius 3, are drawn with ce... |
1500.00 |
| 2877 |
AIME 1984 I Q7 |
The function \(f\) is defined on the set of intege... |
1500.00 |
| 2878 |
AIME 1984 I Q9 |
In tetrahedron \(ABCD\), edge \(AB\) has length 3 ... |
1500.00 |
| 2879 |
AIME 1984 I Q11 |
A gardener plants three maple trees, four oak tree... |
1500.00 |
| 2880 |
AIME 1984 I Q14 |
What is the largest even integer that cannot be wr... |
1500.00 |