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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a1,a2…,ana_1, a_2 \ldots, a_n are positive real numbers whose product is a fixed number c\mathrm{c}, then the minimum value of a1+a2+……+an−1+2ana_1+a_2+\ldots \ldots+a_{n-1}+2 a_n is
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Correct option: A
n(2c)1/nn(2 c)^{1 / n}
Option A (n(2c)1/nn(2 c)^{1 / n}) is correct because it applies the AM-GM inequality to find the minimum value of the given expression.

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