Dễ quá 

1/2 + 1/6 + 1/12 + 1/20 + ... + 1/9900

Đặt A = 1/2 + 1/6 + 1/12 + 1/20 + ... + 1/9900

A = 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + ... + 1/99.100

A = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + .... + 1/99 - 1/100]

A = 1/1 - 1/100

A = 99/100

Vậy A = 99/100

1/2 + 1/6 + 1/12 + 1/20 + ... + 1/9900

= 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + ... + 1/99x100

= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/99 - 1/100

= 1 - 1/100

= 99/100

1/1.2+1/2.3+1/3.4+....+1/99.100

1-1/2+1/2-1/3+1/3-1/4+.....+1/99-1/100

1-1/100

99/100

Ta có : \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+.....+\frac{1}{9900}\)

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

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

\(=1-\frac{1}{100}=\frac{99}{100}\)

      \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{9900}\)

\(=\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{99x100}\)   

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

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

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

\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{9900}\)

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

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

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

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

A=  2 + 6 + 12 + 20 + ...... + 9702 + 9900

A = 1.2 + 2.3 + 3.4 + ......... + 98 . 99 + 99.100

3A = 1.2.3 + 2.3.3 + 3.4.3 + .... + 99.100.3

3A = 1.2.3 + 2.3.(4-1) + ....+ 99.100.(101-98)

3A = 1.2.3 + 2.3.4 - 1.2.3 + ..... + 99.100.101 - 98.99.100

3A = 99 . 100 . 101

A = 99 . 100 . 101 : 3

A = 333300

A=1.2+2.3+3.4+4.5+....+.....

3A=.....

Bạn biets làm rồi đúng ko

Tích mk nha hùng

\(\left(1-\frac{2}{6}\right)\left(1-\frac{2}{12}\right)...\left(1-\frac{2}{9900}\right)\)

\(=\frac{4}{6}.\frac{10}{12}...\frac{9898}{9900}\)

\(=\frac{1.4}{2.3}.\frac{2.5}{3.4}...\frac{98.101}{99.100}\)

\(=\frac{1.2...98}{3.4...100}.\frac{4.5...101}{2.3...99}\)

\(=\frac{2}{99.100}.\frac{100.101}{2.3}\)

\(=\frac{101}{99.3}\)

\(=\frac{101}{297}\)

đáp số:\(\frac{101}{297}\)

ai k mk mk sẽ k lại ^-^

là 101/247

l

\(\dfrac{5}{3}+\dfrac{5}{12}+\dfrac{5}{20}+\dfrac{5}{30}+...+\dfrac{5}{9900}=\dfrac{5}{3}+5\left(\dfrac{1}{3.4}+\dfrac{1}{4.5}+...+\dfrac{1}{99.100}\right)=\dfrac{5}{3}+5\left(\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{99}-\dfrac{1}{100}\right)=\dfrac{5}{3}+5\left(\dfrac{1}{3}-\dfrac{1}{100}\right)=3\dfrac{23}{60}\).