Let P = (1 - 1/2)(1 - 1/3)(1 - 1/4) ... (1 - 1/n). What is the value of P is n = 2020?
The numbers that you have are: (1/2)(2/3)(3/4)(4/5) ... (2017/2018)(2018/2019)(2019/2020)
Notice that the denominator of one term cancels the numerator of the next term, just leaving the
first numerator and the last denominator: 1/2020