Question

C=3/4*8/9*15/16...2499/2500

Answer 1

\(C=\frac{3}{2^2}\cdot\frac{8}{3^2}\cdot\frac{15}{4^2}\cdot...\cdot\frac{2499}{50^2}=\frac{1\cdot3\cdot2\cdot4\cdot3\cdot5\cdot...\cdot49\cdot51}{2\cdot2\cdot3\cdot3\cdot4\cdot4\cdot...\cdot50\cdot50}=\frac{1\cdot51}{2\cdot50}=\frac{51}{100}\)

Answer 2

\(C=\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot...\cdot\frac{2499}{2500}\)

\(C=\frac{3}{2^2}+\frac{8}{3^2}+\frac{15}{4^2}+...+\frac{2499}{50^2}\)có 49 số hạng

Bài này là bài chứng minh mà bạn