Arithmetic Progression Sum Calculation (Jee Mains)

Arithmetic and Geometric Progression

Medium

Arithmetic Progression Sum Calculation

Consider an A.P.: a₁, a₂, ..., a_n; a₁ > 0. If a₂ – a₁
= $\frac{{ - 3}}{4}$ , a_n = $\frac{1}{4}$ a₁, and $\sum\limits_{i = 1}^n {{a_i} = \frac{{525}}{2}}$ , then $\sum\limits_{i = 1}^{17} {{a_i}}$ is equal to

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