100 x 2 x 3 = ?
100/1 x 2 + 100/2 x 3 + 100/3 x 4 +...+100/99 x 100
A=100/1 x 2 + 100/2 x 3 + 100/3 x 4 +...+100/99 x 100
A/100=1/1 x 2 + 1/2 x 3 + 1/3 x 4 +...+1/99 x 100
A/100=2-1/1x2 + 3-2/2x3 + ... + 100-99/99x100
A/100=1-1/2 + 1/2-1/3+...+1/99-1/100
A/100=1-1/100
A/100=99/100
A=99/100x100=99
Vậy A=99.
Ta có:
\(\frac{100}{1.2}+\frac{100}{2.3}+\frac{100}{3.4}+...+\frac{100}{99.100}\)
\(\Rightarrow100.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\right)\)
\(\Rightarrow100.\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(\Rightarrow100.\left(\frac{1}{1}-\frac{1}{100}\right)\Leftrightarrow100.\frac{99}{100}=99\)
\(\text{Ta có :}\)
\(\frac{100}{1.2}+\frac{100}{2.3}+\frac{100}{3.4}+...+\frac{100}{99.100}\)
\(=100.\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(100.\left(\frac{1}{1}-\frac{1}{100}\right)=100.\frac{99}{100}=99\)
Tính:
a.[100/3]+[100/3^2]+[100/3^3]+[100/3^4]
b.[50/2]+[50/2^2]+[50/2^3]+[50/2^4]+[50/2^5]
c.[x]+[x+2/3]+[x+4/3]+[x+7/3]+[x+10/3] với x=-2,7
1 x 2 + 2 x 3 + 3 x 4 + ... + 100 x 101 =
1 x 2 x 3 + 2 x 3 x 4 + ... + 100 x 101 x 102
Có cả lời giải nhé
a: S=1(1+1)+2(1+2)+...+100(1+100)
=1+2+...+100+1^2+2^2+...+100^2
\(=\dfrac{100\cdot102}{2}+\dfrac{100\cdot\left(100+1\right)\cdot\left(2\cdot100+1\right)}{6}\)
\(=100\cdot51+\dfrac{100\cdot101\cdot201}{6}\)
=343450
b: \(A=1\cdot2\cdot3+2\cdot3\cdot4+...+100\cdot101\cdot102\)
=>\(4\cdot A=1\cdot2\cdot3\cdot\left(4-0\right)+2\cdot3\cdot4\left(5-1\right)+...+100\cdot101\cdot102\left(103-99\right)\)
=>4*A=100*101*102*103
=>A=25*101*102*103
4 x 2 : 2 x 3 : 3 x 4 : 4 x........x 100 : 100 + 6 x 1 : 1 x 2 : 2 x 3 : 3 x 4 : 4 x........x 1000 : 1000 x4
giúp nhanh
Tính tích sau: ( 100 – 2) x ( 100 – 3) x .......x ( 100 – 100)
A. 3 B. 2 C. 1 D. 0
em cần gấp
Bài 6 Tìm x
1) ( x+1 ) + ( x+2 ) + ( x+3 ) + ... + ( x+100 ) = 5750
2) ( 2x-1 ) + ( 4x-2 ) + ... + ( 200x - 100 ) = 5050
3) ( x+2 ) + ( x+4 ) + ( x+6 ) + ... + ( x + 100) = 2650
b) 200 x 4 = ...... 300 x 2 = ......
200 x 2 = ...... 300 x 3 = ......
400 x 2 = ...... 500 x 1 = ......
100 x 4 = ...... 100 x 3 = ......
b) 200 x 4 = .800..... 300 x 2 = ..600....
200 x 2 = .400..... 300 x 3 = ...900...
400 x 2 = ...800... 500 x 1 = ..500....
100 x 4 = ..400.... 100 x 3 = .300.....
( 1/2 x 2/1 - 2/3 x 3/2 + 3/4 x 4/3 - 100/101 x 101/100 + 55 ) x x = aa
(10 X 20 X 30 X ... X 100)+(1 + 2 + 3 + ... + 100)-(-1 + -2 + -3 + ... + -25) = x (xϵZ)
Tính
a) ( 100 -1^2 ) x ( 100 - 2^2 ) x ( 100 - 3^2 ) x ...x (100 - 19^2)
b ) ( 169 - 1^2 ) x ( 169 - 2^2 ) x ( 169 - 3^2 ) x ... x (100 - 19^2 )
Các bạn giúp mình nha thứ 6 mình phải nộp rồi