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The sum of infinite terms of the geometric progression 2 +1 2 -1 , 1 2- 2 , 1 2 , is

Options

  1. A2 ( 2 +1)^2
  2. B5 2
  3. C( 2 +1)^2
  4. D3 2 + 5

Correct answer

A. 2 ( 2 +1)^2

Step-by-step solution

In the given series a= 2 +1 2 -1 and r= 1 2+ 2 = 2- 2 2 S_ = a 1-r = 2 +1 2 -1 1- 2- 2 2 aligned & = 2 +1 2 -1 2 2 = 2 ( 2 +1) 2 -1 2 +1 2 +1 & = 2 ( 2 +1)^2 aligned

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