tính tổng
1+ -2 +3 + -4 +...+ 19 + -20
Hãy tính tổng
1+2+3+4+...+99999999998+99999999999
giúp mình bài này với nhé mọi người ơi
Tính nhanh
a) (1 ++ 3 + 6 + 10 + ... + 45 + 55) / (1 * 10 + 2 * 9 + 3 * 8 + ... + 8 * 3 + 9 * 2 + 10 * 1)
b) (1 * 20 + 2 * 19 + 3 * 18 + 4 * 17 + ... + 18 * 3 + 19 * 2 + 20 * 1) / [20 * (1 + 2 + 3 + 4 + .. . + 19 + 20) - (1 * 2 + 2 * 3 + 3 * 4 + ... + 19 * 20)]
Tính
1/2+1/3+1/4+...1/19+1/20:19/1+18/2+17/3+...+2/18+1/19
\(\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{20}}{\dfrac{19}{1}+\dfrac{18}{2}+\dfrac{17}{3}+....+\dfrac{1}{19}}\)
\(=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{20}}{1+\left(\dfrac{18}{2}+1\right)+\left(\dfrac{17}{3}+1\right)+\left(\dfrac{1}{19}+1\right)}\)
\(=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{20}}{1+\dfrac{20}{2}+\dfrac{20}{3}+...+\dfrac{20}{19}}\)
\(=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{20}}{20.\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{19}+\dfrac{1}{20}\right)}\)
\(=\dfrac{1}{20}\)
tính nhanh]
b)\(\frac{1\cdot10+2\cdot19+3\cdot18+4\cdot17+.....+18\cdot3+19\cdot2+20\cdot1}{20\cdot\left(1+2+3+.....+19+20\right)-\left(1\cdot2+2+3+3\cdot4+.....+19\cdot20\right)}\)
tính A=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+....+1/20(1+2+...+19+20)
Tính nhanh biểu thức
2/1×2+2/2×3+2/3×4+.....2/18×19+2/19×20
\(\frac{2}{1.2}+\frac{2}{2.3}+\frac{2}{3.4}+....+\frac{2}{18.19}+\frac{2}{19.20}\)
\(=2\cdot\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\right)\)
\(=2\cdot\left(1-\frac{1}{20}\right)\)
\(=2\cdot\frac{19}{20}=\frac{19}{10}\)
1+(-2)+3+(-4)+.......+19+(-20)
tính tổng
1+(-2)+3+(-4)+.......+19+(-20) \(=\left(1+19\right)+\left(-2+-18\right)+\left(3+17\right)+.....+\left(11+9\right)+\left(-10\right)+\left(-20\right)\)
\(=20-20+20-20+20-20+20-20+20-20-10-20\)
\(=-30\)
1+(-2)+3+(-4)+.......+19+(-20)
\(=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+...+\left(19-20\right)\)
\(=-1-1-1-1-1-1-1-1-1-1\)
\(=-10\)
1+(-2)+3+(-4)+.......+19+(-20)
=(1+19)+(−2+−18)+(3+17)+.....+(11+9)+(−10)+(−20)
=(1+19)+(−2+−18)+(3+17)+.....+(11+9)+(−10)+(−20)
=20−20+20−20+20−20+20−20+20−10−20
=−10
vừa ghi nhầm 1 số 20 nha !
4/tính tổng 1+(-2)+3+(-4)+...19+(-20)
1 + ( - 2 ) + 3 + ( - 4 ) + . . . + 19 + ( - 20 )
= [ 1 + ( - 2 ) ] + [ 3 + ( - 4 ) ] + . . . + [ 19 + ( - 20 ) ]
= ( - 1 ) + ( - 1 ) + . . . + ( - 1 )
= ( - 1 ) × 10
= - 10
1 + (-2) + 3 + (-4) + ... + 19 + (-20)
= [1 + (-2)] + [3 + (-4)] + ... + [19 + (-20)]
= (-1) + (-1) + ... + (-1)
có 10 số -1
= (-1).10
= -10
tính : A = 1*2 + 2*3 + 3*4 + 4*5 + . . . + 19*20
A = 1 x 2 x 3 + 2x 3 x 3 + 3 x 3 x 4 +...+ 3 x 19 x 40
A = 1 x 2 x 3 - 0 x 1x2 + 2x3x4 - 1 x 2 x3 + 3x4x5 - 2x3x4 +...+ 19x20x21 - 18x19x20
A = 19x20x21
A = 7890
Bài 4: Tính tổng :
1) 1+ (-2) + 3 + (-4) + ... + 19 + (-20) giúp mìnnnnn
Lời giải:
$1+(-2)+3+(-4)+...+19+(-20)$
$=[1+(-2)]+[3+(-4)]+....+[19+(-20)]$
$=\underbrace{(-1)+(-1)+....+(-1)}_{10}$
$=(-1).10=-10$