Matematika

Pertanyaan

bagi yang tau mohon dijawab beserta caranya...
bagi yang tau mohon dijawab beserta caranya...

1 Jawaban

  • jawab

    1 - 1/3 = 2/3
    1 - 1/4 = 3/4
    1 - 1/5 = 4/5
    1 - 1/6 = 5/6
    ..
    1- 1/2015 = 2014/2015
    1 -1/2016 = 2015/2016

    (1-1/3)(1-1/4)(1-1/5)(1- 1/6)...(1 - 1/2015)(1 - 1/2016) = n - 2013/2016
    (2/3)(3/4)(4/5)...(2014/2015)(2015/2016) = n - 2013/2016
    2/2016  = n - 2013/2016
    n = 2/2016 + 2013/2016
    n = 2015/2016