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KCET2016MathematicsSequences and Series

If ( 1+ + ² + . ) upto ( =2 3 +4 ), then ( = )

Options

  1. A( 6 )
  2. B( 4 )
  3. C( 3 )
  4. D( 3 4 )

Correct answer

C. ( 3 )

Step-by-step solution

Given that, 1+ + ² + + =2 3 +4 We know that S_ = a 1-r Here a=1 and r= array l So, 1 1- =2 3 +4 1- = 1 2 3 +4 1- = 1 2 3 +4 2 3 -4 2 3 -4 1- = 2 3 -4 12-16 = 2 3 -4 -4 1- = - 3 2 +1 1- = - 3 2 +1 = 3 2 = 3 array

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