\(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}...\frac{100^2}{100.101}\)
\(=\frac{1.1.2.2.3.3...100.100}{1.2.2.3.3.4.4...100.101}\)
\(=\frac{\left(1.2.3...100\right)\left(1.2.3...100\right)}{\left(1.2.3..100\right)\left(2.3.4...101\right)}=\frac{1}{101}\)
Tính
\(\frac{1^2}{1.2}+\frac{2^2}{2.3}+\frac{3^2}{3.4}...\frac{100^2}{100.101}\)
\(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}.....\frac{100^2}{100.101}\)
a)\(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}...\frac{100^2}{100.101}\)
\(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^{^2}}{3.4}...\frac{99^2}{99.100}.\frac{100^2}{100.101}\)
\(B=\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^3}{3.4}.\frac{4^2}{4.5}\)
TÍNH GIÁ TRỊ BIỂU THỨC
Tính giá trị biểu thức:
\(M=\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}.\frac{4^2}{4.5}\)
Tính:
a) \(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}...\frac{99^2}{99.100}.\frac{100^2}{100.101}\)
b)\(\frac{2^2}{1.3}.\frac{3^2}{2.4}.\frac{4^2}{3.5}...\frac{59^2}{58.60}\)
\(\frac{1^2}{1.2}\) . \(\frac{^{2^2}}{2.3}\) . \(\frac{3^2}{3.4}\)................\(\frac{100^2}{100.101}\)
A = \(\frac{1^2}{^{1.2}}\). \(\frac{2^2}{2.3}\) . \(\frac{3^2}{3.4}\). . ... . \(\frac{100^2}{100.101}\)
