Consider an A.P.: ${a}_{1},{a}_{2},\ldots ,{a}_{\text{n}};{a}_{1}0.$ If ${a}_{2}−{a}_{1}=\frac{−3}{4},{a}_{\text{n}}=\frac{1}{4}{a}_{1}$ , and ${\sum }_{\text{i}=1}^{\text{n}}{a}_{\text{i}}=\frac{525}{2},$ then ${\sum }_{\text{i}=1}^{17}{a}_{\text{i}}$ is equal to [JEE Main 2026, 24 Jan (Shift 1)]

Question

Consider an A.P.: ${a}_{1},{a}_{2},\ldots ,{a}_{\text{n}};{a}_{1}>0.$ If ${a}_{2}−{a}_{1}=\frac{−3}{4},{a}_{\text{n}}=\frac{1}{4}{a}_{1}$ , and ${\sum }_{\text{i}=1}^{\text{n}}{a}_{\text{i}}=\frac{525}{2},$ then ${\sum }_{\text{i}=1}^{17}{a}_{\text{i}}$ is equal to [JEE Main 2026, 24 Jan (Shift 1)]

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Consider an A.P.: \({a}_{1},{a}_{2},\ldots ,{a}_{\text{n}};{a}_{1}>0.\) If \({a}_{2}−{a}_{1}=\frac{−3}{4},{a}_{\text{n}}…

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