Question

Bài 9: Tính nhanh 

Ai ơi giúp mik bài toán hè với nhé

cảm tạ (~._.~)!!!!!!!!!!!!

Answer 1

\(A=1+\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{36}.\)

\(\frac{A}{2}=\frac{1}{2}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{72}\)

\(\frac{A}{2}=\frac{1}{2}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{8x9}\)

\(\frac{A}{2}=\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{8}-\frac{1}{9}\)

\(\frac{A}{2}=\frac{1}{2}+\frac{1}{3}-\frac{1}{9}=\frac{13}{18}\Rightarrow A=\frac{13}{9}\)