Find The Value of Given Term :

Q.16

  1. 1/8
  2. 1/16
  3. 1/32
  4. 1/64
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 1/8

    Explanation:-
    4 – 5/(1 + 1/(3 + 1/(8 + 1)/4
    = 4 –  5/(1 + 1/(3 + 1/9/4
    = 4 –  5/(1 + 1/(3 + 4/9)
    = 4 –  5/(1 + 1/(27 + 4)/9
    = 4 –  5/(1 + 1/31/9
    = 4 –  5/(1 + 9)/31
    = 4 –  5/(31 + 9)/31
    = 4 –  5/40/31
    = 4 – 5 x 31/40
    = 4 – 155/40
    = (40 x 4 – 155)/40
    = (160 – 155)/40
    = 5/40
    = 1/8

    Then, the value of the given term is 1/8.

    Hence, the answer is (1) 1/8.

    Anurag Mishra Professor Answered on 26th October 2015.
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