Question

Bài 1: Tìm x biết 

x + 3/5.8 + 3/8.11 + 3/11.14 + ... + 3/32.35 = -2/7

Answer 1

Đặt \(A=\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+...+\frac{3}{32.35}\)

\(A=\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+...+\frac{1}{32}-\frac{1}{35}\)

\(A=\frac{1}{5}-\frac{1}{35}=\frac{6}{35}\)

\(\Rightarrow x+\frac{6}{35}=-\frac{2}{7}\Rightarrow x=-\frac{2}{7}-\frac{6}{35}=-\frac{16}{35}\)