S = 1.2+2.3+3.4+....+38.39+39.40

S.3 = ( 1.2+2.3+3.4+...+38.39+39.40 ) . 3

S.3 = 1.2.(3-0)+2.3.(4-1)+3.4.(5-2)+...........+38.39.(40-37)+39.40.(41-38)

S.3 = 1.2.3-0.1.2+2.3.4-1.2.3+3.4.5-2.3.4+...........+38.39.40-37.38.39+39.40.41-38.39.40

S = \(\frac{39.40.41}{3}\)

S = 13.40.41

S = 21320

S= 1.2 + 2.3 + ... + 39.40

=> 3S = 3.(1.2 + 2.3 + ... + 39.40)

=> 3S = 1.2.(3-0) + 2.3.(4-1) +....+39.40.(41-38)

=> 3S = 1.2.3 - 0.1.2 + 2.3.4 - 1.2.3 + ... + 39.40.41 - 38.39.40

=> 3S = 39.40.41

=> S = \(\frac{39.40.41}{3}\)

=> S=21320

S=1.2+2.3+3.4+.....+38.39+39.40

=>3S=1.2.3+2.3.3+3.3.4+...+3.38.39+39.40.3

=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+38.39.40-37.38.39+39.40.41-38.39.40

=39.40.41

=>S=13.40.41

S = 1 x 2 + 2 x 3 = 3 x 4 + ... + 38 x 39 + 39 x 40

3S = 1 x 2 x 3 + 2 x 3 x 3 + 3 x 4 x 3+ ... + 38 x 39 x 3 + 39 x 40 x 3

3S = 1 x 2 x 3 + 2 x 3 x ( 4 - 1 ) + 3 x 4 x ( 5 - 2 ) + ... + 38 x 39 x ( 40 - 37 ) + 39 x 40 x ( 41 - 38 )

3S = 1 x 2 x 3 + 2 x 3 x 4 - 1 x 2 x 3 + 3 x 4 x 5 - 2 x 3 x 4 + ... + 38 x 39 x 40 - 37 x 38 x 39 + 39 x 40 x 41 - 38 x 39 x 40

 S = 39 x 40 x 41 : 3 

 S = 21320

S=1.2+2.3+...+39.40

3S=1.2.3+2.3.3+...+39.40.3

3S=1.2.(3-0)+2.3.(4-1)+...+39.40.(41-38)

3S=1.2.3-0.1.2+2.3.4-1.2.3+...+39.40.41-38.39.40

3S=39.40.41

S=\(\frac{39.40.41}{3}\)

=>S=21320

\(S=1.2+2.3+3.4+...+39.40\)

\(\Rightarrow3S=3\left(1.2+2.3+3.4+...+39.40\right)\)

\(\Rightarrow3S=3.1.2+3.2.3+3.3.4+...+3.39.40\)

\(\Rightarrow3S=\left(3-0\right).1.2+\left(4-1\right).2.3+\left(5-2\right).3.4+...+\left(41-38\right).39.40\)

\(\Rightarrow3S=1.2.3-0.1.2+2.3.4-1.2.3+3.4.5-2.3.4+...+39.40.41-38.39.40\)

\(\Rightarrow3S=39.40.41\)

\(\Rightarrow S=\frac{39.40.41}{3}=21320\)

21320

\(S=1.2+2.3+3.4+...+38.39+39.40\)

\(3S=1.2.3+2.3.\left(4-1\right)+...+38.39.\left(40-37\right)+39.40.\left(41-38\right)\)

\(3S=1.2.3+2.3.4-1.2.3+...+38.39.40-37.38.39+39.40.41-38.39.40\)

\(3S=39.40.41\)

\(S=\frac{39.40.41}{3}\)

\(S=21320\)

Vậy \(S=21320\)

Tham khảo nhé~

ko hiểu.

S= 1.2+2.3+3.4+.....+38.39+39.40

3.S= 3.(1.2+2.3+3.4+.....+38.39+39.40)

3S = 1.2.3+2.3.3+3.3.4+......+3.38.39+3.39.40

3S = 1.2.3+2.3.(4-1)+3.4.(5-2)+.....+38.39.(40-37)+39.40.(41-38)

3S = 1.2.3+2.3.4-2.3.1+3.4.5-3.4.2+......+38.39.40-38.39.37+39.40.41-39.40.38

3S = (1.2.3-2.3.1)+(2.3.4-3.4.2)+.....+(38.39.40-39.40.38)+39.40.41

3S = 39.40.41

S = (39.40.41) :3

S = (39:3).40.41

S = 13.40.41=21320

* Chúc bạn học tốt

\(S=\) 1x2 + 2x3 + 3x4 +...+ 38x39 + 39x40

\(\Rightarrow3S\) = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + .... + 38x39x(40-37) + 39x40x(41-38)

\(\Rightarrow3S=\) 1x2x3 - 1x2x3 + 2x3x4 - 2x3x4 +3x4x5 +.... + 38x39x40 - 37x38x39+ 39x40x41-38x39x40

\(\Rightarrow3S=\)39x40x41 = 63 960

\(\Rightarrow S\) = 63960 : 3 = 21320

Ta có: 3S = 1 . 2 . 3 + 2 . 3 . (4 - 1) + 3 . 4 . (5 - 2) + ... + 38 . 39 . (40 - 37) + 39 . 40 . (41 - 38)

3S = 1 . 2 . 3 + 2 . 3 . 4 - 1 . 2 . 3 + 3 . 4 . 5 - 2 . 3 . 4 + ... + 38 . 39 . 40 - 37 . 38 . 39 + 39 . 40 . 31 - 38 . 39 . 40

3S = 39 . 40 . 41

S = 13 . 40 . 41 = 21320

Ta có

\(S=1.2+2.3+...+39.40\)

\(\Rightarrow3S=1.2\left(3-0\right)+2.3\left(4-1\right)+....+39.40\left(41-38\right)\)

\(\Rightarrow3S=1.2.3-0.1.2+2.3.4-1.2.3+....+39.40.41-38.39.40\)

\(\Rightarrow S=\frac{38.39.40}{3}\)

\(\Rightarrow S=21320\)

S = 1.2+2.3+3.4+....+38.39+39.40

S.3 = ( 1.2+2.3+3.4+...+38.39+39.40 ) . 3

S.3 = 1.2.(3-0)+2.3.(4-1)+3.4.(5-2)+...........+38.39.(40-37)+39.40.(41-38)

S.3 = 1.2.3-0.1.2+2.3.4-1.2.3+3.4.5-2.3.4+...........+38.39.40-37.38.39+39.40.41-38.39.40

S = \(\frac{39.40.41}{3}\)

S = 13.40.41

S = 21320

S=39.40=1560

Ta có 

S = 1 .2 + 2 . 3+ ...+39.40

=> 3S = 1 . 2 . ( 3 - 0 ) + 2 .3 ( 4-1)+...39 . 40 (41 - 38 )

=> 3S = 1 . 2 .3 - 0.1.2+ 2 . 3 . 4- 1.2.3+....+39.40.41-38.39.40

=> S = \(\frac{38.39.40}{3}\)

=> S = 21320

S = 1x2 + 2x3 + ... + 38x39 + 39x40

3S = 1x2x3 + 2x3x3 + ... + 38x39x3 + 39x40x3

3S = 1x2x3 + 2x3x(4-1 ) + ... + 38x39x(40-37) + 39x40x(41-38)

3S = 1x2x3 + 2x3x4 - 1x2x3 + ... + 38x39x40 - 37x38x39 + 39x40x41 - 38x39x40

3S = 39x40x41

S = 39x40x41 : 3

S = 21320

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