Question

1/1*2 +1/2*3 + 1/3*4 +..........+1/999*1000 +1

Answer 1

1999/1000 tk nha mk nhanh ma

Answer 2

\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{999\cdot1000}+1\)

\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{999}-\frac{1}{1000}+1\)

\(=1-\frac{1}{1000}+1\)

\(=\frac{999}{1000}+1=\frac{1999}{1000}\)

Answer 3

1/1*2  + 1/2*3 + 1/3*4 +................+1/999*1000 +1

=1/2 + 1/6 + 1/12 + ....................+1/999000 +1 

=1-1/2 + 1/2-1/3 + 1/3-1/4 +...+ 1/999- 1/1000+1

=1- 1/1000+1

=999/1000+1

=1999/1000

Answer 4

viết phân số như thế nào v bạn