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AP EAMCET201922 Apr 2019Morning ShiftMathematicsSequences and SeriesActual

( 1 2.5 + 1 5.8 + 1 8.11 + 16 ) terms (= )

Options

  1. A( 4 25 )
  2. B( 8 25 )
  3. C( 16 25 )
  4. D( 1 25 )

Correct answer

A. ( 4 25 )

Step-by-step solution

Given, ( aligned 1 2 5 & + 1 5 8 + 1 8 11 + .16 terms & = 1 3 [ 3 2 5 + 3 5 8 + 3 8 11 + . ] & = 1 3 [ 1 2 - 1 5 + 1 5 - 1 8 + 1 5 - 1 11 + .+ 1 47 - 1 50 ] & = 1 3 [ 1 2 - 1 50 ]= 1 3 [ 48 100 ]= 1 3 [ 24 50 ]= 8 50 = 4 25 aligned )

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