Các câu hỏi tương tự
Tìm x biết 1/1.3 - 1/2.4 + 1/3.5 - 1/4.6 + ...+ 1/97.99 - 1/98.100 + 3lxl = 1
TÍNH TỔNG:
\(S=\frac{1}{1.2}-\frac{1}{1.2.3}+\frac{1}{2.3}-\frac{1}{2.3.4}+\frac{1}{3.4}-\frac{1}{3.4.5}+...+\frac{1}{99.100}-\frac{1}{99.100.101}\)
Câu 1: Tìm x biết:a)left|x+frac{1}{101}right|+left|x+frac{2}{101}right|+left|x+frac{3}{101}right|+...+left|x+frac{100}{101}right|101xb)left|x+frac{1}{1.3}right|+left|x+frac{1}{3.5}right|+left|x+frac{1}{5.7}right|+...+left|x+frac{1}{97.99}right|50xc)left|x+frac{1}{1.2}right|+left|x+frac{1}{2.3}right|+left|x+frac{1}{3.4}right|+...+left|x+frac{1}{99.100}right|100xd)left|x+frac{1}{1.5}right|+left|x+frac{1}{5.9}right|+left|x+frac{1}{9.13}right|+...+left|x+frac{1}{397.401}right|101x
Đọc tiếp
Câu 1: Tìm x biết:
a)\(\left|x+\frac{1}{101}\right|+\left|x+\frac{2}{101}\right|+\left|x+\frac{3}{101}\right|+...+\left|x+\frac{100}{101}\right|=101x\)
b)\(\left|x+\frac{1}{1.3}\right|+\left|x+\frac{1}{3.5}\right|+\left|x+\frac{1}{5.7}\right|+...+\left|x+\frac{1}{97.99}\right|=50x\)
c)\(\left|x+\frac{1}{1.2}\right|+\left|x+\frac{1}{2.3}\right|+\left|x+\frac{1}{3.4}\right|+...+\left|x+\frac{1}{99.100}\right|=100x\)
d)\(\left|x+\frac{1}{1.5}\right|+\left|x+\frac{1}{5.9}\right|+\left|x+\frac{1}{9.13}\right|+...+\left|x+\frac{1}{397.401}\right|=101x\)
1/4.5 + 1/5.6 + 1/6.7 + ....+ 1/39.40
Chứng minh bất đẳng thức sau:
a/ \(\frac{1}{1.3}+\frac{1}{3.5}+...+\frac{1}{\left(2n-1\right).\left(2n+1\right)}<\frac{1}{2}\)
b/ \(1+\frac{1}{1.2}+\frac{1}{1.2.3}+\frac{1}{1.2.3.4}+...+\frac{1}{1.2.3...n}<2\)
Giúp mình với!!!!!!!!!!!!!!!!
Tìm x biết
\(\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{2013.2014.2015}\right)x=\left(1.2+2.3+3.4+.....+2014.2015\right)\)
(1/1.2.3 + 1/2.3.4 +...+ 1/9.10.11)\(x+\frac{1}{2}=x-\frac{331}{2}\)
ìm số tự nhiên x biết: ( 1/ 1.2.3 + 1/ 2.3.4 + ... + 1/ 8.9.10) . x = 23/45
1/1.2.3 + 1/2.3.4 + ....................................+1/101.102.103 =?