a, S= 1.2 + 2.3 + 3.4 + 4.5 + 99.100

   -S= 1/1 - 1/2 + ......... + 1/4 -1/5 + [-(99.100)]

      = 1/1 - 1/5 + [-(99.100)]

      = 4/5 - 99/100

      =-19/100

S  = 19/100

Vậy S = 19/100

k mk nha

a) \(S=1.2+2.3+...+99.100\)

\(\Rightarrow3S=1.2.3+2.3.3+...+99.100.3\)

\(=1.2.3+2.3.\left(4-1\right)+...+99.100.\left(101-98\right)\)

\(=1.2.3+2.3.4-1.2.3+...+99.100.101-98.99.100\)

\(=99.100.101\)

\(=999900\)

\(\Rightarrow S=\frac{999900}{3}=333300\)

1 x 2 + 2 x 3 + 3 x 4 + ... + 99 x 100 = 2 + 6 + 12 + ... + 9900 = 175890 

chắc 10000000000 % luôn đó mình nhanh nhất nhé ủng hộ nha 

Đặt A = 1.2 + 2.3 + 3.4 + .... + 99.100

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

=> 3A = 1.2.3 + 2.3.( 4 - 1 ) + 3.4.( 5 - 2 ) + .... + 99.100.( 101 - 98 )

=> 3A = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 99.100.101 - 98.99.100

=> 3A = ( 1.2.3 - 1.2.3 ) + ( 2.3.4 - 2.3.4 ) + .... + ( 98.99.100 - 98.99.100 ) + 99.100.101

=> 3A = 99.100.101

=> A = ( 99.100.101 ) : 3 = 333300

Vậy A = 333300

1x2+2x3+3x4+...+99x100

=(99.100.101-0.1.2):3

=333300

Đặt A=1.2+2.3+3.4+............+99.100

3A=1.2.3+2.3.(4-1)+3.4.(5-2)+.............+99.100.(101-98)

3A=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+................+99.100.101-98.99.100

3A=99.100.101

A=99.100.101:3

A=333300

1 x 2 + 2 x 3 - 3 x4 +...+ 99 x 100

= ( 9.100.101-0.1.2 ) : 3

=333300

`A=1/2.3+1/3.4+...+1/99.100`

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

`=1/2-1/100`

`=50/100-1/100`

`=49/100`

:))

chúc bạn học càng ngày càng ngu

còn : 1-1/100= 99/100
 

mình xin rút lui

DAP AN LA 99/100

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

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

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

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