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The value of the product 6^ 1 2 6^ 1 4 6^ 1 8 6^ 1 16 . up to infinite terms is

Options

  1. A6
  2. B36
  3. C216
  4. D512

Correct answer

A. 6

Step-by-step solution

6^ 1 2 6^ 1 4 6^ 1 8 6^ 1 16 upto infinite terms. =6^ 1 2 + 1 4 + 1 8 + 1 16 + =6 Sum of terms of G.P. is S _ = a 1- r . Here a = 1 2 , r = 1 2 6^ 1 2 + 1 4 + 1 8 + 1 16 + =6^ 1 2 1- 1 2 =6^ 1 2 1 2 =6^1=6 .

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