Answer:
The first four terms are 1,3,9,27
Step-by-step explanation:
The explicit formula for the sequence is
[tex]A_n=3^{n-1}[/tex]
To find the first term of the sequence, we substitute [tex]n=1[/tex]
[tex]A_1=3^{1-1}[/tex]
[tex]A_1=3^0[/tex]
[tex]A_1=1[/tex]
To find the second term of the sequence, we substitute [tex]n=2[/tex]
[tex]A_2=3^{2-1}[/tex]
[tex]A_2=3^1[/tex]
[tex]A_2=3[/tex]
To find the third term of the sequence, we substitute [tex]n=3[/tex]
[tex]A_3=3^{3-1}[/tex]
[tex]A_3=3^2[/tex]
[tex]A_3=9[/tex]
To find the fourth term of the sequence, we substitute [tex]n=4[/tex]
[tex]A_4=3^{4-1}[/tex]
[tex]A_4=3^3[/tex]
[tex]A_4=27[/tex]
