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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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