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Manipal MET2011MathematicsSequences and Series

If ₃ 2, ₃ (2^x-5 ) and ₃ (2^x- 7 2 ) are in A P , thẹn x is equal to

Options

  1. A1, 1 2
  2. B1, 1 3
  3. C1, 3 2
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

Since, it is an AP. ₃ (2^x-5 )= ₃ 2+ ₃ (2^x- 7 2 ) 2 array ll & 2 ₃ (2^x-5 )= ₃ (2 (2^x- 7 2 ) ) & (2^x-5 )^2=2^ x+1 -7 & 2^ 2 x -12 2^x-32=0 & x=2,3 array But x=2, ₃ (2^x-5 ) is not defined.

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