The first term of the G.p (a₁)a 11
The =fourth term of the G.p (a₄) = 88
[tex]a_1=11,a_4\text{ = 88}[/tex][tex]\begin{gathered} a_4=ar^{4-1}=\text{88} \\ ar^3\text{ = 88} \\ a_1\text{ = 11} \end{gathered}[/tex][tex]\begin{gathered} 11(r)^3\text{ = 88} \\ r^3\text{ = }\frac{88}{11} \\ r^3\text{ = 8} \\ r^3=2^3 \\ r\text{ = 2} \end{gathered}[/tex]The nth term of the geometric sequence
[tex]\begin{gathered} T_n=ar^{n-1} \\ T_{n\text{ }}=11(2)^{n-1} \end{gathered}[/tex]