Question

Вычислите (1+1/2)(1+1/3)(1+1/4)(1+1/5)...(1+1/2014)

Answer 1

$(1+frac{1}{2})(1+frac{1}{3})(1+frac{1}{4})(1+frac{1}{5})...(1+frac{1}{2014})=\\frac{3}{2}*frac{4}{3}*frac{5}{4}*frac{6}{5}*...*frac{2014}{2013}=frac{2014}{2}=1007$