Answer:
First three terms: 1, 3 and 9
Stated term = 81
Explanation:
Given the formula;
[tex]a_n=3^{n-1}[/tex]
Let's go ahead and determine the first three terms of the geometric sequence.
For the 1st term;
[tex]\begin{gathered} a_1=3^{1-1} \\ =3^0 \\ =1 \end{gathered}[/tex]
For the 2nd term;
[tex]\begin{gathered} a_2=3^{2-1} \\ =3^1 \\ =3 \end{gathered}[/tex]
For the 3rd term;
[tex]\begin{gathered} a_3=3^{3-1} \\ =3^2 \\ =9 \end{gathered}[/tex]
Let's now find the stated term;
[tex]\begin{gathered} a_5=3^{5-1} \\ =3^4 \\ =81 \end{gathered}[/tex]
