What is the value of (1+1/2)*(1+1/3)*...*(1+1/2003)

Question

 What is the value of (1+1/2)*(1+1/3)*...*(1+1/2003)

Answer 1

Rewriting as improper fractions

(3/2)(4/3)(5/4) .... (2004/2003)

Notice all reduce but for the first 2 and the last 2004

2004 / 2

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