Question

Tính A = \(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right).....\left(1+\frac{1}{100}\right)\)

Answer 1

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

\(\Rightarrow A=\frac{3.4..........101}{2.3.........100}\)

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

Answer 2

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

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

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