MathDB
When a_2 a_3 ... a_k > 3

Source: 0

April 28, 2009
geometry3D geometry

Problem Statement

For every n≥2 n \ge 2, a_n \equal{} \sqrt [3]{n^3 \plus{} n^2 \minus{} n \minus{} 1}/n. What is the least value of positive integer k k satisfying a2a3⋯ak>3 a_2a_3\cdots a_k > 3 ?
<spanclass=′latex−bold′>(A)</span> 100<spanclass=′latex−bold′>(B)</span> 102<spanclass=′latex−bold′>(C)</span> 104<spanclass=′latex−bold′>(D)</span> 106<spanclass=′latex−bold′>(E)</span> None<span class='latex-bold'>(A)</span>\ 100 \qquad<span class='latex-bold'>(B)</span>\ 102 \qquad<span class='latex-bold'>(C)</span>\ 104 \qquad<span class='latex-bold'>(D)</span>\ 106 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
Back to ProblemsView on AoPS