Consider an A.P.: a 1 , a 2 , … , a n ; a 1 0 . If a 2 - a 1 = - 3 4 , a n = 1 4 a 1 and i = 1 n a i = 525 2 , then i = 1 17 a i is equal to: [2026]

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Solution

Q.
Consider an A.P.: $a_{1}, a_{2}, \dots, a_{n}$ ; $a_{1} > 0$ . If $a_{2} - a_{1} = \frac{- 3}{4}, a_{n} = \frac{1}{4} a_{1}$ and $\sum_{i = 1}^{n} a_{i} = \frac{525}{2},$ then $\sum_{i = 1}^{17} a_{i}$ is equal to: [2026]

1 952

2 136

3 476

4 238

Ans.
(4)

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