Các câu hỏi tương tự
\(\left(1-\frac{1}{4}\right)X\left(1-\frac{1}{9}\right)X\left(1-\frac{1}{16}\right)X.......X\left(1-\frac{1}{144}\right)X\left(1-\frac{1}{169}\right)\)
Tính bằng cách hợp lí:
a/ \(\left(1+\frac{1}{3}\right)x\left(1+\frac{1}{8}\right)x\left(1+\frac{1}{15}\right)x...x\left(1+\frac{1}{9999}\right)\)
b/ \(\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{9}\right)x\left(1-\frac{1}{16}\right)x...x\left(1-\frac{1}{10000}\right)\)
Nhớ giải giúp mình nhé!
tính nhanh :
a, \(\left[1+\frac{1}{2005}\right]x\left[1+\frac{1}{2006}\right]x\left[1+\frac{1}{2007}\right]x\left[1+\frac{1}{2008}\right]x\left[1+\frac{1}{2009}\right]\)
Tính:
\(\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{9}\right)x\left(1-\frac{1}{16}\right)x......x\left(1-\frac{1}{576}\right)x\left(1-\frac{1}{625}\right)\)
Giải đầy đủ có lời giải sẽ được tick
Tìm T:
\(T=\left(1-\frac{1}{4}\right)X\left(1-\frac{1}{9}\right)X\left(1-\frac{1}{16}\right)X...X\left(1-\frac{1}{576}\right)X\left(1-\frac{1}{625}\right)\)
Mk đang cần gấp
Tĩm x:
1,\(\frac{1}{\left(x+1\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}=\frac{1}{x+5}\)
2,\(\left(x+\frac{1}{1.3}\right)+\left(x+\frac{1}{3.5}+......+x+\frac{1}{23.25}\right)=11.x+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\right)\)
Giải chi tiết hộ mình nha mình tik cho
tính bằng cách thuận tiện
\(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)x\left(1-\frac{1}{6}\right)\))
giúp mik nhé ai nhanh mik k
\(A=\left(6:\frac{3}{5}-1\frac{1}{6}x\frac{6}{7}\right):\left(4\frac{1}{5}x\frac{10}{11}+5\frac{2}{11}\right)\)\(B=\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{4}\right)x.......x\left(1-\frac{1}{2015}\right)x\left(1-\frac{1}{2016}\right)\)
\(C=5\frac{9}{10}:\frac{3}{2}-\left(2\frac{1}{3}x4\frac{1}{2}-2x2\frac{1}{3}\right):\frac{7}{4}\)
\(\left(1-\frac{1}{4}\right)\left(1-\frac{1}{9}\right)\left(1-\frac{1}{16}\right)\cdot....\cdot\left(1-\frac{1}{256}\right)\cdot x=\frac{108}{7}\)