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BITSAT2009MathematicsStraight LinesActual

The (100^ th ) term of the sequence (1,2,2,3,3,3,4,4 ), (4,4, ) is

Options

  1. A12
  2. B13
  3. C14
  4. D15

Correct answer

C. 14

Step-by-step solution

( aligned & 1^ st term 1,2^ nd term =2,4^ th term 3, & 7^ th term 4,11^ th term 5, aligned ) Series is (1,2,4,7,11, ) (a_n=1+ n(n-1) 2 = n^2-n+2 2 ) If (n=14 ), then (a_n=92, If n=15 ), then (a_n=106 ).

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