if a₁,a₂,a₃,............a_n are +ve real numbers whose product is a fixed number c,then min. value of a₁+a₂+.........a_n-1+2a_n=?

Dear ajinkya

given.

 a₁.a₂.a_3.............a_{n =}c

so use AM≥GM

(a₁+a₂+.........a_n-1+2a_n)/n   ≥ ( 2a₁.a₂.a_3.............a_n)^1/n

                             ≥ ( 2c)^1/n

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