Question

C=\(\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{6}\right)\left(1-\dfrac{1}{10}\right)\left(1-\dfrac{1}{15}\right).....\left(1-\dfrac{1}{210}\right)\)

Tính C

Answer 1

\(C=\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{6}\right)...\left(1-\dfrac{1}{210}\right)\)

\(=\dfrac{2}{3}\cdot\dfrac{5}{6}\cdot\cdot\cdot\dfrac{209}{210}\)