# NMTC Practice Part 11

**Algebra**Level 5

Out of \(n\) positive integers, not necessarily different, that add up to \(2014\),\(n_1\) are \(1\), \(n_2\) are \(2\), \(n_3\) are \(3\), . . . . . . and \(n_{2014}\) are \(2014\). Determine the maximum possible value of \(n_2+2n_3+3n_4+4n_5+ \ldots+ 2013n_{2014}\).