S 1x2+2x3+3x4+...+38x39+39x40
3S = 1x2x3 + 2x3x3 + 3x4x3 + ... + 38x39x3 + 39x40x3
3S = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + ... + 38x39x(40-37) + 39x40x(41-38)
3S = 1x2x3 + 2x3x4-1x2x3 + 3x4x5-2x3x4 + ... + 38x39x40-37x38x39 + 39x40x41-38x39x40
S = 39x40x41 : 3
S = 21320
S = 1.2 + 2.3 + 3.4 + ... + 38.39 + 39.40
3S = 1.2.(3-0) + 2.3.(4-1) + 3.4.(5-2) + ... + 38.39.(40-37) + 39.40.(41-38)
3S = 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
3S = (1.2.3 + 2.3.4 + 3.4.5 + ... + 38.39.40 + 39.40.41) - (0.1.2 + 1.2.3 + 2.3.4 + ... + 37.38.39 + 38.39.40)
3S = 39.40.41 - 0.1.2
3S = 39.40.41
S = 13.40.41
S = 21320
tinh: S = 1 x 2 + 2 x 3 +3 x 4 +...+ 38 x 39 + 39 x 40.
S 1x2+2x3+3x4+...+38x39+39x40
=> 3S là:
3S = 1x2x3 + 2x3x3 + 3x4x3 + ... + 38x39x3 + 39x40x3
3S = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + ... + 38x39x(40-37) + 39x40x(41-38)
3S = 1x2x3 + 2x3x4-1x2x3 + 3x4x5-2x3x4 + ... + 38x39x40-37x38x39 + 39x40x41-38x39x40
S = 39x40x41 : 3
S = 21320
S = 1.2 + 2.3 + 3.4 + ... + 38.39 + 39.40
3S = 1.2.﴾3‐0﴿ + 2.3.﴾4‐1﴿ + 3.4.﴾5‐2﴿ + ... + 38.39.﴾40‐37﴿ + 39.40.﴾41‐38﴿
3S = 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
3S = ﴾1.2.3 + 2.3.4 + 3.4.5 + ... + 38.39.40 + 39.40.41﴿ ‐ ﴾0.1.2 + 1.2.3 + 2.3.4 + ... + 37.38.39 + 38.39.40﴿
3S = 39.40.41 ‐ 0.1.2
3S = 39.40.41
S = 13.40.41
S = 21320
Học tốt nha hí hí
S = 1.2 + 2.3 + 3.4 + ... + 38.39 + 39.40
3S = 1.2.﴾3‐0﴿ + 2.3.﴾4‐1﴿ + 3.4.﴾5‐2﴿ + ... + 38.39.﴾40‐37﴿ + 39.40.﴾41‐38﴿
3S = 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
3S = ﴾1.2.3 + 2.3.4 + 3.4.5 + ... + 38.39.40 + 39.40.41﴿ ‐ ﴾0.1.2 + 1.2.3 + 2.3.4 + ... + 37.38.39 + 38.39.40﴿
3S = 39.40.41 ‐ 0.1.2
3S = 39.40.41
S = 13.40.41
S = 21320
tinh: S = 1 x 2 + 2 x 3 +3 x 4 +...+ 38 x 39 + 39 x 40.
ta có :
S 1x2+2x3+3x4+...+38x39+39x40
3S = 1x2x3 + 2x3x3 + 3x4x3 + ... + 38x39x3 + 39x40x3
3S = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + ... + 38x39x(40-37) + 39x40x(41-38)
3S = 1x2x3 + 2x3x4-1x2x3 + 3x4x5-2x3x4 + ... + 38x39x40-37x38x39 + 39x40x41-38x39x40
S = 39x40x41 : 3
S = 21320