a) \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+....+\frac{1}{32}-\frac{1}{64}=\frac{1}{1}-\frac{1}{64}=\frac{63}{64}\)
b) \(\frac{63}{64}=0,98...;\frac{2016}{2017}=0,99...\)
\(\Rightarrow\frac{63}{64}< \frac{2016}{2017}\)