Answer :
Given data:'
The second term is 14.
The third term is 28.
The common ratio is,
[tex]\begin{gathered} r=\frac{28}{14} \\ =2 \end{gathered}[/tex]The first term is,
[tex]\begin{gathered} a=\frac{14}{2} \\ =7 \end{gathered}[/tex]The fourth term is,
[tex]\begin{gathered} a_4=a_3\times r \\ =(28)(2) \\ =56 \end{gathered}[/tex]The seventh term is,
[tex]\begin{gathered} a_7=224\times2 \\ =448 \end{gathered}[/tex]Thus, the series is 7, 14, 28, 56, 112, 224, 448, and 896.