# Greek Sequence

Level pending

Let the sequence of real numbers $$(a_n),n=1,2,3...$$ with $$a_1=2$$ and $$a_n=\left(\frac{n+1}{n-1} \right)\left(a_1+a_2+...+a_{n-1} \right),n\geq 2$$. If the term $$a_{2014}$$ can be expressed as $$2^ab$$ , find the last three digits of $$a+b$$.

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