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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If ∑i=121ai=693\sum\limits_{{i=1}}^{21} a_i=693, where a1,a2,…,a21a_1, a_2, \ldots, a_{21} are in APA P, then the value of ∑i=010a2r+1\sum\limits_{{i=0}}^{10} a_{2 r+1} is
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Correct option: B
363
Option B, 363, is correct because using the properties of an arithmetic progression, the sum can be simplified to 5(a1+a21)+a115(a_1 + a_{21}) + a_{11}, which equals 363.

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