Answer:
Step-by-step explanation:
[tex]a(n) = a1 *(1.25)^{(n-1)}[/tex]
[tex]a(1) = 5[/tex]
[tex]a(2) = 5*(1.25)^{(2-1)}\\a(2) = 5*(1.25)^{1}\\a(2) = 5*(1.25)\\a(2) = 6.25[/tex]
[tex]a(3) = 5 * (1.25)^{(3-1)} \\a(3) = 5 * (1.25)^{2}\\a(3) = 5 * 1.565\\a(3) = 7.813[/tex]
[tex]a(4) = 5* (1.25)^{(4-1)}\\ a(4) = 5* (1.25)^{3}\\a(4) = 5* 1.953\\a(4) = 9.766[/tex]
[tex]a(5) = 5 * (1.25)^{(5-1)}\\a(5) = 5 * (1.25)^{4}\\a(5) = 5 * 2.441\\a(5) = 12.207[/tex]
[tex]a(6) = 5 * (1.25)^{5}\\a(6) = 5 * 3.052\\a(6) = 5 * 3.0517\\a(6) = 15.259[/tex]
[tex]a(1) = 5[/tex]
[tex]a(2) = 6.25[/tex]
[tex]a(3) = 7.813[/tex]
[tex]a(4) = 9.766[/tex]
[tex]a(5)=12.207[/tex]
[tex]a(6)=15.259[/tex]