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if a 1 ,a 2 ,a 3 ,............a n are +ve real numbers whose product is a fixed number "c",then min. value of a 1 +a 2 +.........a n-1 +2a n =?

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


 


 


 

Grade:10

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear ajinkya

given.

 a1.a2.a3.............an =c

so use AM≥GM

(a1+a2+.........an-1+2an)/n   ≥ ( 2a1.a2.a3.............an)1/n

                             ≥ ( 2c)1/n

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