What will be the Value of the Equation? If

If un = 1/n – 1/n+1 then the value of u1+u2+u3+u4+u5 is

  1. 1/2
  2. 1/3
  3. 2/5
  4. 5/6
taufikraza Default Asked on 22nd July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 5/6
    Explanation:-
    Un = 1/n – 1/(n + 1)             (Given)
    Then,
    U1 = 1- 1/ 2, U2 = 1/2 – 1/3, U3 = 1/3 – 1/ 4, U4 = 1/4 – 1/5,
    U5 = 1/5 – 1/6
    Then,
    U1 + U2 + U3 + U4 + U5 = 1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4  + 1/4 – 1/5 + 1/5 – 1/6
    = 1- 1/6
    = (6 – 1)/6 = 5/6
    Hence, the answer is (4) 5/6.

    Anurag Mishra Professor Answered on 22nd July 2015.
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