Ta có: \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{20}\right).\)
\(=\frac{1}{2}-\frac{2}{3}.......\frac{19}{20}\)
\(=\frac{1.2.3....19}{2.3.4...20}=\frac{1}{20}\)
nha, cảm ơn
\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{20}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{19}{20}\)
\(=\frac{1}{20}\)
Dấu . là nhân nha
gọi biểu thức trên là a
A = ( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ... x ( 1 - 1/19 ) x ( 1 - 1/20 )
A = ( 2/2 - 1/2 ) x ( 3/3 - 1/3 ) x ( 4/4 - 1/4 ) x ... x ( 19/19 - 1/19 ) x ( 20/20 - 1/20 )
A = 1/2 x 2/3 x 3/4 x ... x 18/19 x 19/20
A = 1 x 2 x 3 x ... x 18 x 19/2 x 3 x 4 x ... x 19 x 20
A = 1/20