Question

[Nguyễn Hoài]

3/3x6 + 3/6x9 + 3/9x12 + 3/12x15 + 3/15x18

Answer 1

[Khánh Ngọc]

3/3x6 + 3/6x9 + 3/9x12 + 3/12x15 + 3/15x18

= 1/3 - 1/6 + 1/6 - 1/9 + ... + 1/15 - 1/18

= 1/3 - 1/18

= 5/18

Answer 2

[nguyễn bích ngọc]

\(\frac{3}{3\times6}+\frac{3}{6\times9}+\frac{3}{9\times12}+\frac{3}{12\times15}+\frac{3}{15\times18}\)

=\(3\times\left(\frac{1}{3\times6}+\frac{1}{6\times9}+\frac{1}{9\times12}+\frac{1}{12\times15}+\frac{1}{15\times18}\right)\)

=\(3\times\left(\frac{1}{3}\times\frac{1}{6}+\frac{1}{6}\times\frac{1}{9}+\frac{1}{9}\times\frac{1}{12}+\frac{1}{12}\times\frac{1}{15}+\frac{1}{15}\times\frac{1}{18}\right)\)

=\(3\times\left(\frac{1}{3}\times\frac{1}{18}\right)\)

=\(3\times\frac{1}{54}=\frac{3}{54}=\frac{1}{18}\)