1.

If \[{{a}_{1}},{{a}_{2}},....{{a}_{n}}\] are positive real numbers whose product is a fixed number c, then the minimum value of \[{{a}_{1}}+{{a}_{2}}+...\] \[+{{a}_{n-1}}+2{{a}_{n}}\]is [IIT Screening 2002]

A. \[n{{(2c)}^{1/n}}\]
B. \[(n+1)\,{{c}^{1/n}}\]
C. \[2n{{c}^{1/n}}\]
D. \[(n+1){{(2c)}^{1/n}}\]
Answer» B. \[(n+1)\,{{c}^{1/n}}\]


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