dễ mà bạ kết bạn nhé

1/50-1/51+1/51-1/52+........+1/99-1/100

=1/50-1/100

=1/100

\(\frac{1}{50}.51+\frac{1}{51}.52+...+\frac{1}{99}.100\)

Ta rút gọn còn : 

\(\frac{1}{50}+\frac{1}{100}\)

\(=\frac{2}{100}+\frac{1}{100}\)

\(=\frac{3}{100}\)

Song rồi Dễ Thương

    1/50x51+1/51x52+.....+1/99x100

ta rút gọn còn:     1/50+1/100

                            = 2/100+1/100

                            =        3/100

3/100

\(=\frac{1}{50}-\frac{1}{51}+\frac{1}{51}-\frac{1}{52}_{ }+.....-\frac{1}{98}+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}\)
\(=\frac{1}{50}+\left(\frac{-1}{51}+\frac{1}{51}\right)+.....+\left(\frac{-1}{98}+\frac{1}{98}\right)+\left(\frac{-1}{99}+\frac{1}{99}\right)-\frac{1}{100 }\)
\(=\frac{1}{50}+0+0+....+0+0-\frac{1}{100}\)
\(=\frac{1}{50}-\frac{1}{100 }\)
\(=\frac{1}{100}\)
Nhớ **** cho mình nhé

\(B=\left(\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{50\cdot51}\right)+\left(\dfrac{5}{6}+\dfrac{19}{20}+...+\dfrac{2549}{2550}\right)\)

\(B=\left(\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+..+\dfrac{1}{50\cdot51}\right)+\left(1-\dfrac{1}{2\cdot3}\right)+\left(1-\dfrac{1}{3\cdot4}\right)+...+\left(1-\dfrac{1}{50\cdot51}\right)\)

\(B=\left(1+1+...+1\right)+\left(\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{50\cdot51}\right)-\left(\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{50\cdot51}\right)\)

\(B=1\cdot49=49\) (vì có (50 - 2) : 1 + 1 = 49 số hạng 1)

   \(\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{99x100}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)

\(=\frac{1}{2}-\frac{1}{100}\)

\(=\frac{49}{100}\)

\(\frac{1}{4.5}+\frac{1}{5.6}+.....+\frac{1}{99.100}\)

=\(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+.....+\frac{1}{99}-\frac{1}{100}\)

=\(\frac{1}{4}-\frac{1}{100}\)

=\(\frac{6}{25}\)

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)

\(=1-\frac{1}{100}\)

\(=\frac{99}{100}\)

Cho hai số biết rằng bớt số thứ nhất 28 đơn vị thì được số thứ hai va 1/3 số thứ nhất bằng 3/5 số thứ hai.Tìm hai số đó

sai roi

\(\frac{99}{100}\)

1/1.2+1/2.3+....+1/99.100

=1/1-1/2+1/2-1/3+...+1/99-1/100

=1/1-1/100=100/100-1/100=99/100

99/100

tick nha tui tick lại