TRẢ LỜI ĐI CÓ DC KO ĐỂ MK CÒN GIẢI
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Cho \(A=\frac{1\cdot3\cdot5\cdot...\cdot995\cdot997}{4\cdot6\cdot8\cdot...\cdot998\cdot1000};B=\frac{2\cdot4\cdot6\cdot...\cdot996\cdot998}{5\cdot7\cdot9\cdot...\cdot999\cdot1001}\)So sánh A và B
tinh
\(\frac{2^2}{1\cdot3}\cdot\frac{3^2}{2\cdot4}\cdot...\cdot\frac{50^2}{49\cdot50}\)
b1:rút gọn
a) \(\frac{10\cdot11+50\cdot55+70\cdot77}{11\cdot12+55\cdot60+77\cdot84}\) b)\(\frac{1\cdot3\cdot5\cdot........\cdot49}{26\cdot27\cdot28\cdot......\cdot50}\)
So sánh \(1\cdot3\cdot5\cdot7\cdot...\cdot99\)với \(\frac{51}{2}\cdot\frac{52}{2}\cdot\frac{53}{2}\cdot...\cdot\frac{100}{2}\)
Tìm A
\(A=\left(\frac{1}{1\cdot3}+1\right)\cdot\left(\frac{1}{3\cdot5}+1\right)\cdot...\cdot\left(\frac{1}{49\cdot50}+1\right)\)
tính:
A=\(\frac{1^2}{1\cdot2}\cdot\frac{2^2}{2\cdot3}\cdot\frac{3^2}{3\cdot4}\cdot\frac{4^2}{4\cdot5}...\frac{8^2}{8\cdot9}\cdot\frac{9^2}{9\cdot10}\)
B=\(\frac{2^2}{3}\cdot\frac{^{3^2}}{8}\cdot\frac{4^2}{15}\cdot\frac{6^2}{35}\cdot\frac{7^2}{48}\cdot\frac{8^2}{63}\cdot\frac{9^2}{80}\)
tính \(A=\)\(\frac{1^2}{1\cdot2}\cdot\frac{2^2}{2\cdot3}\cdot\frac{3^2}{3\cdot4}\cdot\frac{4^2}{4\cdot5}\cdot...\cdot\frac{99^2}{99\cdot100}\)
\(A=\frac{1^2}{1\cdot2}\cdot\frac{2^2}{2\cdot3}\cdot\frac{3^2}{3\cdot4}\cdot\cdot\cdot\cdot\cdot\frac{9^2}{9\cdot10}\)
Tính B=\(\frac{2^2}{1\cdot3}\cdot\frac{3^2}{2\cdot4}\cdot\frac{4^2}{3\cdot5}\cdot...\cdot\frac{2015^2}{2014\cdot2016}\)