# 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 $$n_2+2n_3+3n_4+4n_5+ \ldots+ 2013n_{2014}$$.

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