Let \(a_1, a_2, \ldots ., a_{10}\) be an A.P. with common difference \(-3\) and \(b_1, b_2, \ldots \ldots, b_{10}\) be a…

Let \(a_1, a_2, \ldots ., a_{10}\) be an A.P. with common difference \(-3\) and \(b_1, b_2, \ldots \ldots, b_{10}\) be a \(GP\) with common ratio \(2.\) Let \(c_k=a_k+b_k, k=1,2, \ldots ., 10\). If \(c_2=12\) and \(c_3=13\), then \(\sum_{k=1}^{10} c_k\) is equal to _______ .

[JEE Main 2021, 26 Aug (Shift 2)]