Nhân 2 vế với 2 ta có:
Ax2=\(\frac{2}{1.2.3}+\frac{2}{2.3.4}+...+\frac{2}{48.49.50}=\left(\frac{1}{1.2}-\frac{1}{2.3}\right)+\left(\frac{1}{2.3}-\frac{1}{3.4}\right)+...+\left(\frac{1}{48.49}-\frac{1}{49.50}\right)\)
Nhân 2 vế với 2 ta có:
Ax2=\(\frac{2}{1.2.3}+\frac{2}{2.3.4}+...+\frac{2}{48.49.50}=\left(\frac{1}{1.2}-\frac{1}{2.3}\right)+\left(\frac{1}{2.3}-\frac{1}{3.4}\right)+...+\left(\frac{1}{48.49}-\frac{1}{49.50}\right)\)
Tính \(A=\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+.....+\frac{1}{99.100.101}\)
Tính
\(\frac{1}{1.2.3}-\frac{1}{2.3.4}-........-\frac{1}{97.98.99}\)
Tính tổng
\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{2006.2007.2008}\)
Tính :
\(\frac{1}{1.2.3}-\frac{1}{2.3.4}-.......-\frac{1}{97.98.99}\)
Tính
A = \(\frac{1}{1.2.3}-\frac{1}{2.3.4}-.......-\frac{1}{99.100.101}\)
Tính tổng;
\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{37.38.39}\)
Tính
\(A=\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{99.100.101}\)
Tính tổng: \(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{37.38.39}\)
tính: \(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{a\left(a+1\right)\left(a+2\right)}\)