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AP EAMCET202018 Sep 2020Evening ShiftMathematicsSequences and SeriesActual

Geometric mean of ( 1^ , 2^ , . . . ), ( 89^ ) is

Options

  1. A( 1 89 )
  2. B1
  3. C( 1 3 )
  4. D( 3 )

Correct answer

B. 1

Step-by-step solution

( 1^ 2^ 45^ 46^ 88^ 89^ ) ( 1^ 2^ 44^ 45^ (90-44^ ) ) ( (90^ -1^ ) ) ( 1^ 2^ 44^ 45^ Cot 44^ Cot 43^ )... ( Cot 1^ ) ( 1^ 2^ 44^ 1 1 44^ 1 43^ 1 1^ =1 ) Hence, option (b) is correct.

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