Question

rut gon B\(=\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)....\left(1-\frac{1}{20}\right)\)

 

Answer 1

B = \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{20}\right)=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{19}{20}\)

   =\(\frac{1.2.3...19}{2.3.4...20}=\frac{1}{20}\)

Answer 2

B=(1-1/2)(1-1/3).....(1-1/20)

B=1/2.2/3....19/20

B=1-1/20

B=19/20