Arithmetic Progression Sum (Jee Mains)

Arithmetic and Geometric Progression

Medium

Arithmetic Progression Sum

Let a₁, a₂, a₃…. be in an A.P. such that
$\sum\limits_{k = 1}^{12} {{a_{2k - 1}}} = - \frac{{72}}{5}{a_1},{a_1} \ne 0$ . If $\sum\limits_{k = 1}^n {{a_k} = 0}$ , then n is :

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