Question

\(\frac{3}{4}\)  x  \(\frac{8}{9}\)  x  \(\frac{15}{16}\)  x  .........  x \(\frac{9999}{10000}\)  = 

cac ban giup minh nha

Answer 1

3/4.8/9.15/16.....9999/10000

=1.3/2^2.2.4/3^2.3.5/4^2....99.101/100^2

=1.3/2.2.2.4/3.3.3.5/4.4....99.101/100.100

=(1.2.3...99/2.3.4...100).(3.4.5...101/2.3.4...100)

=1/100.101/2=101/200

Answer 2

tách trên tử thành 2 stn hon kem nhau 2 dvi o duoi mau la binh phuong cua mot so

Answer 3

\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{99.101}{100.100}\)

\(=\frac{1.2.3....99}{2.3.4....100}.\frac{3.4.5....101}{2.3.4....100}=\frac{1}{100}.\frac{101}{2}=\frac{101}{200}\)

Answer 4

\(=\frac{1\times3}{2^2}+\frac{2\times4}{3^2}+\frac{3\times5}{4^2}+...+\frac{99\times101}{100^2}\)