1.
a) \(A=\frac{\left(\frac{2018}{1}-1\right)\left(\frac{2018}{2}-1\right)...\left(\frac{2018}{1000}-1\right)}{\left(\frac{1000}{1}+1\right)\left(\frac{1000}{2}+1\right)...\left(\frac{1000}{1007}+1\right)}\)
b) Tìm x biết 378% của x kém A 55 đơn vị.
2. Tìm a, b, c sao cho : \(\frac{\overline{ab}.\overline{bc}.\overline{ca}}{\overline{ab}+\overline{bc}+\overline{ca}}=\frac{3321}{11}\)
1.Tìm các chữ số a,b,c biết:\(\frac{1}{\overline{ab}.\overline{bc}}+\frac{1}{\overline{bc}.\overline{ca}}+\frac{1}{\overline{ca}.\overline{ab}}=\frac{11}{3321}\)
2.Tìm tất cả các số nguyên dương x;y thoả mãn:(x+y)4=40x+41
tìm x:
a) \(\overline{x3}+\overline{3x}=12\times11\)
b) \(4\frac{3}{4}-\left(\frac{1}{2}+x\right)\div4\frac{2}{3}=2\frac{1}{2}\)
\(A=\frac{\left(1+\frac{1999}{1}\right)\left(1+\frac{1999}{2}\right)\left(1+\frac{1999}{3}\right)...\left(1+\frac{1999}{1000}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right)\left(1+\frac{1000}{3}\right)...\left(1+\frac{1000}{1999}\right)}\)
hỏi a = ?
1.Tính C=\(\frac{\left(1+\frac{1999}{1}\right)\left(1+\frac{1999}{2}\right)\left(1+\frac{1999}{3}\right)...\left(1+\frac{1999}{1000}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right)\left(1+\frac{1000}{3}\right)...\left(1+\frac{1000}{1999}\right)}\)
Rút gọn :
a/ \(A=\frac{\frac{1}{19}+\frac{2}{18}+\frac{3}{17}+...+\frac{19}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{20}}\)
b/ \(B=\frac{\left(1+\frac{2012}{1}\right)\left(1+\frac{2012}{2}\right)...\left(1+\frac{2012}{1000}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right)...\left(1+\frac{1000}{2012}\right)}\)
Tính :
C= \(\frac{\left(1+\frac{1999}{1}\right)\left(1+\frac{1999}{2}\right)...\left(1+\frac{1999}{1000}\right)}{\left(1+\frac{1000}{2}\right)\left(1+\frac{1000}{2}\right)...\left(1+\frac{1000}{1999}\right)}\)
Tính biểu thức:
\(A=\left(1-\frac{1}{1000}\right).\left(1-\frac{2}{1000}\right).\left(1-\frac{3}{1000}\right).....\left(1-\frac{50000^{1000}}{1000}\right)\)
\(\frac{\left(1+\frac{2012}{1}\right)\left(1+\frac{2012}{2}\right).......\left(1+\frac{2012}{100}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right).....\left(1+\frac{1000}{2012}\right)}\)
Tìm tích
a)\(\left(\frac{1}{2}+1\right).\left(\frac{1}{3}+1\right).\left(\frac{1}{4}+1\right).....\left(\frac{1}{999}+1\right)\)
b)\(\left(\frac{1}{2}-1\right).\left(\frac{1}{3}-1\right).\left(\frac{1}{4}-1\right)....\left(\frac{1}{1000}-1\right)\)
