I recently came across this question, and I need some help with it
$(1- 1/2)\times(1-1/3)\times(1-1/4) ... (1-1/2016)\times (1-1/2017)=$
I have worked out that the pattern goes :
The last fraction will be $2016\over2017$, as with every fraction, the numerator and denominator increase by 1. However, how do I manage to multiply these?