Integer Sequence with a Restriction

A positive integer sequence \(a_1,a_2,\ldots a_n,a_{n+1},\ldots\) has a property that for all integers \(i,j\) with \(i > j\), the sequence satisfies \[ia_j > ja_i\]

If \(a_{1000}=2014\), then what is the the minimum possible value \(a_{500}\) can take?

×

Problem Loading...

Note Loading...

Set Loading...