Question

[Jenny phạm]

a) A = \(\left(1-\frac{1}{2}\right)\). \(\left(1-\frac{1}{3}\right)\). \(\left(1-\frac{1}{4}\right)\). . . . . \(\left(1-\frac{1}{1000}\right)\)

a) A =\(\left(1-\frac{1}{5}\right)\) \(\left(1-\frac{2}{5}\right)\). \(\left(1-\frac{3}{5}\right)\). . . . .  \(\left(1-\frac{2005}{5}\right)\)

c) C = \(\frac{8}{9}\). \(\frac{15}{16}\). \(\frac{24}{25}\). . . . . \(\frac{2499}{2500}\)

a) A = \(\left(1-\frac{1}{3}\right)\). \(\left(1-\frac{1}{6}\right)\). \(\left(1-\frac{1}{10}\right)\). . . . . \(\left(1-\frac{1}{780}\right)\)

Answer 1

[mi ni on s]

\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{1000}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{999}{1000}\)

\(=\frac{1}{1000}\)

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