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Let P = (1 - 1/2)(1 - 1/3)(1 - 1/4) ... (1 - 1/n).  What is the value of P is n = 2020?

 Jun 1, 2020
 #1
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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

 Jun 1, 2020

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