Question

tìm a biết: A = (1+1/2 ) x (1+1/3)x (1+1/4)x.....x (1+1/100)

Answer 1

\(A = (1+\frac{1}{2} ) (1+\frac{1}{3} ) (1+\frac{1}{4} )...(1+\frac{1}{100} ) \)

\(A = \frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{101}{100} \)

\(A = \frac{3.4.5.....101}{2.3.4.....100}\)

\(A = \frac{101}{2}\)

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