Let \({\mathrm{a}}_{1},{\mathrm{a}}_{2},{\mathrm{a}}_{3}\ldots\) be in an A.P. such that \(\sum _{\mathrm{k}=1}^{12}{\ma…

Let \({\mathrm{a}}_{1},{\mathrm{a}}_{2},{\mathrm{a}}_{3}\ldots\) be in an A.P. such that \(\sum _{\mathrm{k}=1}^{12}{\mathrm{a}}_{2\mathrm{k}-1}=-\frac{72}{5}{\mathrm{a}}_{1},{\mathrm{a}}_{1}\neq 0\). If \(\sum _{\mathrm{k}=1}^{\mathrm{n}}{\mathrm{a}}_{\mathrm{k}}=0\), then \(n\) is:

[JEE Main 2025, 2 Apr (Shift 1)]