# My 600 followers problem!

Algebra Level 5

Consider an arithmetic progression $$<a_n> : a_1,a_2,a_3,a_4, \ldots$$ such that $$a_{2015}= 600,a_{600}=2015$$

Consider another arithmetic progression $$<b_n> : b_1,b_2,b_3,b_4,\ldots$$ such that sum of its first $$2015$$ terms $$S_{b,2015}=600$$ , and the sum of its first $$600$$ terms $$S_{b,600}=2015$$.

What is the value of $$a_{1729}+S_{b,2615}$$?

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