Question

                                giúp mh vs các bạn ơi!!!

2/1*3+2/3*5+2/5*7+...+2/99*101

giúp mình vs nhé !!!!

Cảm ơn ,có j mh sẽ tick nha!!!!

Answer 1

\(\frac{2}{1\times3}+\frac{2}{3\times5}+\frac{2}{5\times7}+...+\frac{2}{97\times99}+\frac{2}{99\times101}\)

\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}+\frac{1}{99}-\frac{1}{101}\)

\(=1-\frac{1}{101}\)

\(=\frac{100}{101}\)

Answer 2