Cho A=1*2+2*3+3*4+...+19*20
Tính A*3=?
* Cho A= 1×2+2×3+3×4+...+19×20
Tính A×3= ?
A=1.2+2.3+3.4+...+19.20
=> 3A=1.2.3+2.3.3+3.3.4+....+19.20.3
=1.2.3-0.1.2+2.3.4-1.2.3+3.4.5-2.3.4+....+19.20.21-18.19.20
=19.20.21
=7980
nguồn: Minh Triều
Cho A = 1*2+2*3+3*4+4*5+......+19*20
Tính A *3=?
A = 1 . 2 + 2 . 3 + 3 . 4 + ...+ 19 . 20
3A = 1 . 2 . 3 + 2 . 3 . 3 + 3 . 4 . 3 + ...+ 19 . 20 . 3
3A = 1 . 2 . 3 + 2 . 3 . ( 4 - 1 ) + 3 . 4 . ( 5 - 2 ) + ...+ 19 . 20 . ( 21 - 18 )
3A = 1 . 2 . 3 + 2 . 3 . 4 - 1 . 2 . 3 + 3 . 4 . 5 - 2 . 3 . 4 + ...+ 19 . 20 . 21 - 18 . 19 . 20
3A = 19 . 20 . 21
A = 19 . 20 . 21/3
A = 2660
K nha
A=_____________________(Ko chép đầu bài)
Ax3=3x(1x2+2x3+3x4+.......+19x20)
Ax3=1x2x3+2x3x3+3x4x3+....+19x20x3
Ax3=1x2x(3-0)+2x3x(4-1)+....+19x20x(21-18)
Ax3=1x2x3-0x1x2+2x3x4-1x2x3+....+19x20x21-18x19x20
Ax3=19x20x21
Ax3=7980
Đúng 100% ko đúng tui ko làm người
Cho A=1*2+2*3+3*4+...+19*20
Tính A*3
Toán 4 đó !!
tính A=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+....+1/20(1+2+...+19+20)
4)cho a^1+a^2+a^3+...+a^19+a^20+a^21=10 va a^1+a^2=a^3+a^4=...=a^19+a^20=a^20+a^21=2. tim a^20
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)]
Cho A = 1 x 2 x 3 x 4 + ... + 19 x 20.
Tính A x 3 = ?
\(A=1\cdot2\cdot3\cdot...\cdot19\cdot20\)
\(\Leftrightarrow A=1\cdot2\cdot3+2\cdot3\cdot3\cdot+3\cdot3\cdot4+...+3\cdot19\cdot20\)
\(=1\cdot2\cdot3-0\cdot1\cdot2+2\cdot3\cdot4-1\cdot2\cdot3+3\cdot4\cdot5-2\cdot3\cdot4+...+19\cdot20\cdot21-18\cdot19\cdot20\)\(=19\cdot20\cdot21\)
\(=7980\)
tICH NHA BAN HIEN
Tính : A = 1/1*2 + 1/2*3 + 1/3*4 + ........ 1/18*19 + 1/19*20
Trả lời : A = ..............
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{19.20}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{19}-\frac{1}{20}=1-\frac{1}{20}=\frac{19}{20}\)
=1/2[1/1*2 - 1/2*3 + 1/2*3 - 1/3*4 + 1/3*4 - 1/4*5 + ... + 1/18*19 - 1/19*20]
=1/2[1/2 - 1/19*20]
=1/2*189/380
=189/760
Cho A = 1 x 2 + 2 x 3 + 3 x 4 ... 19 x 20
Tính A x 3 = ?
Ax3=1x2x3+2x3x3+...+19x20x3
=1x2x3+2x3x(4-1)+...+19x20x(21-18)
=1x2x3+2x3x4-1x2x3+....+19x20x21-18x19x20
=19x20x21=7980
A = 1 x 2 + 2 x 3 + 3 x 4 ... 19 x 20
=>A x 3=1x2x3+2x3x3+3x3x4+...+3x19x20
=1x2x3 - 0x1x2 + 2x3x4 - 1x2x3 + 3x4x5 - 2x3x4+....+19x20x21 - 18x19x20
=19x20x21
=7980