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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If the sum of first 11 terms of an AP.,  a1,a2,a3.....AP.,\,\,{a_1},{a_2},{a_3}..... is 0 (a1≠0),\left( {{a_1} \ne 0} \right), then the sum of the AP.,  a1,a3,a5..... a23AP.,\,\,{a_1},{a_3},{a_5}.....\,{a_{23}} is ka1,k{a_1}, where kk is equal to
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Correct option: D
−725- \frac{{72}}{5}
Option D (−725\frac{{-72}}{5}) is correct because it is the value of k obtained by using the given condition about the sum of the first 11 terms of the AP being 0.

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