Find the first four terms of the sequence given by the following.1a₁=5 (4)"-¹, n=1, 2, 3...

Given the sequence:
[tex]a_n=5(4)^{n-1}[/tex]Therefore, the first four terms are:
n = 1
[tex]a_1=5(4)^{1-1}=5(4)^0=5(1)=5[/tex]n = 2
[tex]a_2=5(4)^{2-1}=5(4)^1=5(4)=20[/tex]n = 3
[tex]a_3=5(4)^{3-1}=5(4)^2=5(16)=80[/tex]n = 4
[tex]a_4=5(4)^{4-1}=5(4)^3=5(64)=320[/tex]Answer: 5, 20, 80, 320