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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If 51+x+51−x,a25^{1+x}+5^{1-x}, \frac{a}{2} and 25x+25−x25^x+25^{-x} are three consecutive terms of an A.P., then the values of aa are given by
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Correct option: A
a≥12a \geq 12
Option A (a≥12a \geq 12) is correct because the expression can be rewritten as a sum of squares plus 12, which is always greater than or equal to 12.

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