Question

Answer 1

`= 2/(3.5) + 2/(5.7) + ... + 2/(23.25)`

`= 1/3 - 1/5 + ... + 1/23 - 1/25`

`= 1/3 - 1/25`

`= 22/75`.

Answer 2

\(M=\dfrac{2}{3\cdot5}+\dfrac{2}{5\cdot7}+\dfrac{2}{7\cdot9}+...+\dfrac{2}{23\cdot25}\\ M=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{23}-\dfrac{1}{25}\\ M=\dfrac{1}{3}-\dfrac{1}{25}\\ M=\dfrac{22}{75}\)

Answer 3

=22/75