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  • Question
  • Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + ....


  • Options
  • A. 30,400
  • B. 30,200
  • C. 34,600
  • D. 38,400

  • Correct Answer
  • 30,400 

    Explanation

    we can treat every two consecutive terms as one.
    So, we will have a total of 100 terms of the nature:
    (2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....

     

    We know the sum of n terms   n n + 1 2

     

    Now, a= 7, d=6 and n=100
    Hence the sum of the given series is
    S= 100/2 x[2 x 7 + 99 x 6]
    => 50[608]
    => 30,400.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst

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