Question

tính tổng các phân số sau: 1/18+ 1/54+ 1/108+...+1/990

Answer 1

\(\frac{1}{18}\)+\(\frac{1}{54}\)+\(\frac{1}{108}\)+...+\(\frac{1}{990}\)

=\(\frac{1}{3.6}\)+\(\frac{1}{6.9}\)+\(\frac{1}{9.12}\)+...+\(\frac{1}{30.33}\)

=\(\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+\frac{1}{9}-\frac{1}{12}+...+\)\(\frac{1}{30}-\frac{1}{33}\)

=\(\frac{1}{3}-\frac{1}{33}\)

=\(\frac{10}{33}\)

Answer 2

=1/3*6+1/6*9+1/9*12+...+1/30*33

=1/3*(1/3-1/6+1/6-1/9+...+1/30-1/33)

=1/3* (1/3-1/33)

=1/3*10/33

=10/99

Answer 3

dễ mà bn