Question

[le thu thao]

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90

cac ban giup mik voi 

Answer 1

[I don't need you]

\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\)

\(=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+\frac{1}{6\times7}+\frac{1}{7\times8}+\frac{1}{8\times9}+\frac{1}{9\times10}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)

                                                                                                                                                                  \(+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)

( Gạch bỏ các phân số giống nhau )

\(=1-\frac{1}{10}\)

\(=\frac{9}{10}\)

Chúc bn học tốt !!!!

Answer 2

[Trịnh Thùy Linh]

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90

=1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+1/6x7+1/7x8+1/8x9+1/9x10

=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10

=1-1/10

=9/10

k đúng cho mk nh!!!