\(\frac{1}{1.2.3}+\frac{1}{1.2.3}+...+\frac{1}{99.100.101}\)
\(=\frac{1}{2}\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+...+\frac{1}{99.100}-\frac{1}{100.101}\right)\)
\(=\frac{1}{2}\left(\frac{1}{1.2}-\frac{1}{100.101}\right)=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{10100}\right)=\frac{5049}{20200}\)
tinh A=1/1.2.3+1/2.3.4+....+1/99.100.101
tinh
1/1.2.3+1/2.3.4+....+1/99.100.101
Tính: 1/1.2.3+1/2.3.4+1/3.4.5+...+1/99.100.101
Tính
A = \(\frac{1}{1.2.3}-\frac{1}{2.3.4}-.......-\frac{1}{99.100.101}\)
Tính \(A=\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+.....+\frac{1}{99.100.101}\)
Tính:
f) F= 1.2+2.3+3.4+...+n(n+1)
g) G= 1.2.3+2.3.4+3.4.5+...+99.100.101
h) H= 1.2.3+2.3.4+3.4.5+...+n(n+1)(n+2)
i) I= 1.3+2.4+3.5+...+99.100
j) J= 1.4+2.5+3.6+...+99.102
Tính
\(A=\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{99.100.101}\)
Tính : \(A=1.2.3+2.3.4+3.4.5+.....+99.100.101\)
Tính : A=1.2.3+2.3.4+3.4.5+......+99.100.101
Ai vừa thi HSG 7 thành phố cho xin cái đề
