Mathematics
Let \(a_{1},a_{2},a_{3},\ldots\). be in an arithmetic progression of
positive terms.\\
Let
\(A_{k} = a_{1}^{2} - a_{2}^{2} + a_{3}^{2} - a_{4}^{2} + \ldots.. + a_{2k - 1}^{2} - a_{2k}^{2}\).\\
If \(A_{3} = - 153,A_{5} = - 435\) and
\(a_{1}^{2} + a_{2}^{2} + a_{3}^{2} = 66\), then \(a_{17} - A_{7}\) is
equal to
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