Question

[Mori Ran]

\(\frac{1}{2x4}+\frac{1}{4x6}+\frac{1}{6x8}+\frac{1}{8x10}+\frac{1}{10x12}\)

các bạn làm cả lời giải giúp mk nhé!

Answer 1

[Vũ Hà Vy Anh]

=1/2-1/4+1/4-1/6+1/61/8+1/81/10+1/10-1/12

=1/2-1/12

5/12

tk nha

Answer 2

[l҉o҉n҉g҉ d҉z҉]

Đặt : \(A=\frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+\frac{1}{8.10}+\frac{1}{10.12}\)

\(\Rightarrow2A=\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+\frac{2}{8.10}+\frac{2}{10.12}\)

\(\Rightarrow2A=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+......+\frac{1}{10}-\frac{1}{12}\)

\(\Rightarrow2A-A=\frac{1}{2}-\frac{1}{12}\)

\(\Rightarrow A=\frac{5}{12}\)