Question

2/1.3 + 2/3.5 + ... + 2/2015 . 2017 = ?

Answer 1

\(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{2015.2017}\)

= \(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{2015}-\frac{1}{2017}\)

= \(\frac{1}{1}-\frac{1}{2017}\)

= \(\frac{2016}{2017}\)

Answer 2

\(=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{2015}-\frac{1}{2017}\)

\(=\frac{1}{1}-\frac{1}{2017}\)

\(=\frac{2016}{2017}\)

Answer 3

\(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{2015.2017}\)

\(=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{2015}-\frac{1}{2017}\)

\(=1-\frac{1}{2017}=\frac{2016}{2017}\)