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Respected Sir, Please solve the attached question .

Respected Sir, 
Please solve the attached question .

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Grade:8

1 Answers

Dr Bhishma Hazarika
23 Points
4 years ago
Let n=2, so we will take only two number and their reciprocal
 i.e  b1 , b2 and 1/b1,1/b2
  We know AM>=GM for first two numbers
 So   b1+b2>=2(b1b2)1/2.......................(1)
 
Now , For 1/b1 and 1/b2
  (1/b1+1/b2)>=2(1/b1b2)1/2.....................(2)
 
 Now multiply Eq. (1)  and Eq. (2)
  (b1+b2)(1/b1+1/b2)>=4(b1b2)1/2(1/b1b2)1/2=4.1=4=22
 
 Now if n=3 then your answer will be 32
 
 Finally, AM and GM inequality is true for every natural value of n, i.e n=1,2,3,4,5,6.............
 
 
 So your generalised answer is n2

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