\(=\dfrac{-1}{2}\cdot\dfrac{-2}{3}\cdot...\cdot\dfrac{-199}{200}=-\dfrac{1}{200}\)
\(=\dfrac{-1}{2}\cdot\dfrac{-2}{3}\cdot...\cdot\dfrac{-199}{200}=-\dfrac{1}{200}\)
Bài 1:
1. Tính: \(E=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
2. Tìm và tính tổng các số nguyên x thỏa mãn: \(\frac{21}{5}\left|x\right|< 2019\)
3. Tìm x, biết: \(\frac{2^{24}\left(x-3\right)}{\left(3\frac{5}{7}-1,4\right)\left(6\cdot2^{24}-4^{13}\right)}=\left(\frac{5}{3}\right)^2\)
1.Tính nhanh:
a. 7/13 x 7/15 - 5/12 x 21/39 + 49/91 x 8/15
b. ( 12/199 + 23/200 - 34/201 ) x ( 1/2 - 1/3 - 1/6 )
2. So sánh:
a. 3^200 và 2^300 b. 71^50 và 37^75 c. 201201/202202 và 201201201/202202202
A=(1+1/2).(1+1/3).(1+1/4)...(1×1/2009)
B=(1-1/2).(1-1/3)...(1-1/100)
B= 1/2.2/3.3/4...99/100
X+1/99+x+2/98+x+3/97+x+4/96
1/ x + 1/2 = -5/3 6/ x - 1/5 = 9/10
2/ 1/3 - x = 3/5 7/ x + 5/12 = 3/8
3/ 3-4 + x = 7/2 8/ x + 5/4 = 7/6
4/ x - 4/3 = -7/9 9/ x - 2/7 = 1/35
5/ x - -7/3 = 5/6 10/ x - 1/5 = -7/10
Tìm x, biết;
a) 2×(x-1/3)-3×(x-1/2)=1/2×x
b) -3×(x-1/4)-1/3×(x+1/2)=x
Tìm x biết :a, 2/3 (x-1/4)=1/3(2x-1)
b,1/5*2^x+1/3*2^x+1=1/5*2^7+1/2*2^8
bài 1 : tính
a) 1/7 : 5/17 - 3/2 . ( 1/6 - 7/12 )
b) 25/77 - ( 1/5 - 7/15 ) : 10/11 : |-3/4|
c) 4/7 + 15/4 - 11/4 + 3/7 - 1/2 + 1/3
bài 2 : tìm x
a) 3/4.x + 1/2 = -3/5
b) x-5/4 = 1/3 - 3/4 .x
c) -2/3 . ( x - 1/4 ) = 1/3 . ( 2x-1)
Tìm x, y ∈ Z biết
1/ ( x - 1 ) ( x - 2 ) ≤ 0
2/ ( 2 x - 4 ) ( 2 x - 10 ) < 0
3/ ( x2 + 1 ) ( x2 - 4 ) < 0
4/ ( x2 - 7 ) ( x2 - 1 ) ≤ 0
5/ |x| + |x+1| = x + 2
6/ |x| + |x+1| + |x+2| + |x+3 |= 3x
1/ x + 1/2 = -5/3
2/ 1/3 - x = 3/5
3/ 3-4 + x = 7/2
4/ x - 4/3 = -7/9
5/ x - -7/3 = 5/6
6/ x - 1/5 = 9/10
7/ x + 5/12 = 3/8
8/ x + 5/4 = 7/6
9/ x - 2/7 = 1/35
10/ x - 1/5 = -7/10