tính nhanh:
1+1+1+1+1+1+1+1+1+2+2+2+2+2+ 3^3+ 9^0
chứng tỏ rằng : B = 1/22 + 1/32 + 1/42 + 1/52 + 1/62 + 1/72 + 1/82 < 1
1/3 x + 1/2 = -4/3
-2/3 - 4/3 x = -1/2
5/2 - 2 (x-1) = -2/3
7/-2 x - 1/3 = -1/2
8/5 - 1/2 : x = 8/3
-5/4 x - 1/2 x = -7/3
ét ô ét
1) Tìm x biết:
\(\left(1-\dfrac{3}{10}-x\right):\left(\dfrac{19}{10}-1-\dfrac{2}{5}\right)+\dfrac{4}{5}=1\)
2) Tính nhanh
a)\(\dfrac{1}{1.2.3}+\dfrac{1}{2.3.4}+\dfrac{1}{3.4.5}+...+\dfrac{1}{10.11.12}\)
b)\(\dfrac{1^2}{1.2}.\dfrac{2^2}{2.3}.\dfrac{3^2}{3.4}.\dfrac{4^2}{4.5}\)
A=1/2 +1/2*2 +...+1/2*100 ( * là ngũ,/ dấu gạch ngang
1 /2 * (x*(-2) /3)*(-1) /3 * (2 * x -3) = x + 1 /2
a) Tính tổng A=6/5.8+22/8.19+24/19.31+140/31.101+198/101.200 b) Chứng minh : 1/2^2+1/4^2+1/6^2+...+1/100^2
tính nhanh
B = (x:1-x.1).(x.2015+x+1).(x là số tự nhiên)
F = 2/6+2/12+....+2/240
G = 1/3+1/9+1/27+1/81+1/243
H = 1/2+1/4+1/8+...+1/1024
1) (2x -3) (5/2 – x)=0
2) x – 12 = ½
3) (2x + 3/5)^2 -9/25 = 0
4) 7/3 x – 5/2 x = -1/3
5) ¾ + ¼ : x = 1
6) 1/3 + 2/5 (x+1) = 1
1.
a, \(^{^2}\left(x-2\right)=9\) b,\(^{^3}\left(3x-1\right)=-8\) c, \(\left(x+\dfrac{1}{2}\right)^2=\dfrac{1}{16}\) d, \(\left(\dfrac{2}{3}\right)^x=\dfrac{4}{9}\) e, \(\left(\dfrac{1}{2}\right)^{x-1}=\dfrac{1}{16}\) f,\(\left(\dfrac{1}{2}\right)^{2x-1}=8\)
2.tìm số tự nhiên n biết
a, \(3^{n-1}=27\) b, \(3^{n-1}=\dfrac{1}{243}\) c, \(\left(\dfrac{1}{2}\right)^{2n-1}=\dfrac{1}{8}\) d, \(\left(-\dfrac{1}{3}\right)^{n-5}=\dfrac{1}{81}\) e,\(2^{-1}.2^n+4.2^n=9.2^5\)