Đặt biểu thức đó là : A = 2/3x5 + 2/5x7 + 2/7x9 + ... + 2/41x43
A = 2/3 - 2/5 + 2/5 - 2/7 + 2/7 - 2/9 + .... + 2/41 - 2/43
A = 2/3 - 2/43
A = 80/129
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{41}-\frac{1}{43}\)
\(=\frac{1}{3}-\frac{1}{43}\)
\(=\frac{40}{129}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{41}-\frac{1}{43}\)
\(=\frac{1}{3}-\frac{1}{43}\)
\(=\frac{40}{129}\)