Question

A=2/2x4+2/4x6+2/4x8+........+2/292x294

Tính tổng của A

Answer 1

\(\text{Sửa đề : }A=\frac{2}{2\times4}+\frac{2}{4\times6}+\frac{2}{6\times8}+...+\frac{2}{292\times294}\)

\(=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{292}-\frac{1}{294}\)

\(=\frac{1}{2}-\frac{1}{294}\)

\(=\frac{73}{147}\)

\(\text{Vậy }A=\frac{73}{147}\)