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Question 32

Mathematics Sequence And Series Hard

If&nbsp;<span class="math-tex">\(a_1, a_2, a_3,...,a_n\)</span>&nbsp;are positive real numbers whose product is a fixed number C, then the minimum value of&nbsp;<span class="math-tex">\(a_1+a_2+...+a_n\)</span>&nbsp;is

(A) <span class="math-tex">\(\dfrac{n(2c)^1}{n}\)</span>
(B) <span class="math-tex">\(\dfrac{(n+1)C^1}{n}\)</span>
(C) <span class="math-tex">\(n{(C)}^{1/n}\)</span>
(D) <span class="math-tex">\(((n+1)(2c)^1/n\)</span>
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Correct Solution: Option C

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