# An algebra problem by Vladimir Smith

Algebra Level 5

${ a }_{ n }=\frac { n+1 }{ n-1 } ({ a }_{ 1 }+{ a }_{ 2 }+a_{ 3 } + \ldots +a_{ n-1 })$

Consider the recurrence relation above for $$n\geq 2$$ and $$a_1 = 1$$.

If $$a_{2015} = b \times 2 ^ d$$, where $$b$$ is an odd integer, then find $$b + 2 + d$$.

Note: This problem can be solved without any calculator aids.

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