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The sum of the series 3 4 8 - 3 5 4 8 12 + 3 5 7 4 8 12 16 - is

Options

  1. A3 2 - 3 4
  2. B2 3 - 3 4
  3. C3 2 - 1 4
  4. D2 3 - 1 4

Correct answer

B. 2 3 - 3 4

Step-by-step solution

3 4 8 - 3 5 4 8 12 + 3 5 7 4 8 12 16 - + 3 4 - 3 4 aligned & =1- 1 4 + 1 3 2 4 4 - 1 3 5 4 4 2 4 3 + - 3 4 & = [1+ 1 1! (- 1 4 )+ 1(1+2) 2! (- 1 4 )^2 .+ 1(1+2)(1+4) 3! (- 1 4 ^3+ ]- 3 4 aligned = (1- 1 4 )^ -1 / 2 - 3 4 = 2 3 - 3 4

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