Tính:
Trả lời: S=
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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=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
\(S=1.2+2.3+3.4+...+39.40\)
\(\Rightarrow3S=3\left(1.2+2.3+3.4+...+39.40\right)\)
\(\Rightarrow3S=3.1.2+3.2.3+3.3.4+...+3.39.40\)
\(\Rightarrow3S=\left(3-0\right).1.2+\left(4-1\right).2.3+\left(5-2\right).3.4+...+\left(41-38\right).39.40\)
\(\Rightarrow3S=1.2.3-0.1.2+2.3.4-1.2.3+3.4.5-2.3.4+...+39.40.41-38.39.40\)
\(\Rightarrow3S=39.40.41\)
\(\Rightarrow S=\frac{39.40.41}{3}=21320\)
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
3S=39.40.41
S=13.40.41
S=21320
Có tất cả các số hạng là: (100-2):2+1 = 50
S= (50.(100+2)):2=2550
\(S=1x2+2x3+3x4+...+39x40\)
\(\Rightarrow3S=1x2\left(3-0\right)2x3\left(4-1\right)+...+39x40\left(41-38\right)\)
\(\Rightarrow3S=1x2x3-0x1x2+2x3x4-1x2x3+...+39x40x41-38x39x40\)
\(\Rightarrow S=\frac{38x39x40}{3}\)
\(\Rightarrow S=21320\)
\(S=1.2+2.3+3.4+...+38.39+39.40\)
\(3S=1.2.3+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+38.39.\left(40-37\right)+39.40.\left(41-38\right)\)
\(3S=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+38.39.40-37.38.39+39.40.41-38.39.40\)
\(3S=39.40.41\)
\(S=\frac{63960}{3}=21320\)
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