diketahui bahwa (1-1/3)(1-1/4)(1-1/5)(1-1/6)...(1-12015)(1-1/2016)=n-(2013/2016) berapakah n yang memenuhi?

Perhatikan!

(1-⅓) = (2/3)
(1-⅓)(1-¼) = (2/3)(3/4) = 2/4
(1-½)(1-¼)(1-1/5) = (2/3)(3/4)(4/5) = 2/5
...

(1-⅓)(1-¼)...(1-1/2016) = n - 2013/2016
_________ 2/2016 = n - 2013/2016
2/2016 + 2013/2016 = n
_______2015/2016 = n

Nilai n adalah 2015/2016