Question

Giúp mk bài này với

Answer 1

\(A=\left(1+\dfrac{1}{2}\right)\times\left(1+\dfrac{1}{3}\right)\times\left(1+\dfrac{1}{4}\right)\times...\times\left(1+\dfrac{1}{100}\right)\)

\(\Rightarrow A=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\text{​​}\text{​​}\text{​​}...\times\dfrac{101}{100}\)

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

Answer 2

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

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

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