If the sum of first 11 terms of an A.P., \( a_{1}, a_{2}, a_{3} \ldots \) is 0 \( \left(a_{1} \neq 0\right) \), then the sum of the A.P., , \( a_{1}, a_{3}, a_{5} \ldots, a_{23} \) is \(k{a}_{1}\) , where \( k \) is equal to :

[JEE Main 2020, 2 Sep (Shift 2)]

Question

If the sum of first 11 terms of an A.P., \( a_{1}, a_{2}, a_{3} \ldots \) is 0 \( \left(a_{1} \neq 0\right) \), then the sum of the A.P., , \( a_{1}, a_{3}, a_{5} \ldots, a_{23} \) is \(k{a}_{1}\) , where \( k \) is equal to :

[JEE Main 2020, 2 Sep (Shift 2)]

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If the sum of first 11 terms of an A.P., \( a_{1}, a_{2}, a_{3} \ldots \) is 0 \( \left(a_{1} \neq 0\right) \), then the…

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