It is a geometric series.
The ratio of the second to first term is= [tex]\frac{4}{10}=\frac{2}{5}[/tex]
The ratio of the third to second term is= [tex]\frac{\left(\frac{8}{5}\right)}{4}=\frac{2}{5}[/tex]
The ratio of the fourth to third term is=[tex]\frac{\left(\frac{16}{25}\right)}{\left(\frac{8}{5}\right)}=\frac{2}{5}[/tex]
Since the common ratios are same so it is a geometric series.
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