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Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series

b and c are arithmetic means between a and d ( a d 0) and h and k are the geometric mean between a and d then

Options

  1. Abc is always greater than hk
  2. Bbc is always less than hk
  3. Cbc may be equal to hk
  4. Dnone of these

Correct answer

A. bc is always greater than hk

Step-by-step solution

Let a-d=3 t ; then b c=(d+z t)(d+t)=d^2+3 t d+2 t^2 Also a d =1+ 3 t d , so h k=d^2 [1+ 3 t d ]=d^2 t+3 t d b c bc hk

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