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AP EAMCET2001MathematicsSequences and Series

1+ 1 4 + 1 3 4 8 + 1 3 5 4 8 12 + is equal to

Options

  1. A2
  2. B1 2
  3. C3
  4. D1 3

Correct answer

A. 2

Step-by-step solution

We have, aligned & (1-x)^ -1 / 2 =1+ 1 2 x+ 1 2 ( 1 2 +1 ) 2 ! x^2 & + 1 2 ( 1 2 +1 ) ( 1 2 +2 ) 3 ! x^3+ & (1-x)^ -1 / 2 =1+ 1 2 x+ 1.3 8 x^2+ 1 3 5 4 12 x^3+ & aligned Put x= 1 2 gathered (1- 1 2 )^ -1 / 2 =1+ 1 4 + 1 3 4 8 + 1 3 5 4 8 12 + 2 =1+ 1 4 + 1 3 4 8 + 1 3 5 4 8 12 + gathered

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