Question

Tính nhanh: A = 1/15+1/35+1/63+1/99+...+1/9999

trả lời

Answer 1

\(A=\frac{1}{15}+\frac{1}{35}+...+\frac{1}{9999}\)

\(A=\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{99.101}\)

\(A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{99}-\frac{1}{101}\)

\(A=\frac{1}{3}-\frac{1}{101}=\frac{98}{303}\)