Question

[Hoàng Ngọc]

Cho C=1/2x3/4x4/5x...x199/200

Hộ mik với nha!Khó quá trời

Answer 1

[Kiên-Messi-8A-Boy2k6]

\(C=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{199.200}\)

\(\Rightarrow C=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{199}-\frac{1}{200}\)

\(\Rightarrow C=\frac{1}{2}-\frac{1}{200}\)

\(\Rightarrow C=\frac{99}{200}\)

Answer 2

[๖ۣۜLuyri Vũ๖ۣۜ]

\(C=\frac{1}{2}x\frac{3}{4}x\frac{4}{5}x......x\frac{199}{200}\)

\(C=\frac{1x3x4x......x199}{2x4x5x......200}\)

\(C=\frac{1x3}{2}\)

\(C=\frac{3}{2}\)