Respuesta :

thaovtp1407

Step-by-step explanation:

Given the explicit formula : an = [tex]3^{n-1}[/tex]  find the first three terms

  • Term 1:

n = 1 => a(1) = [tex]3^{1-1}[/tex] = [tex]3^{0} = 1[/tex]

  • Term 2:

n = 2 => a(2) = [tex]3^{2-1}=3^{1} =3[/tex]

  • Term 3:

n= 3 => a(3)  = [tex]3^{3-1}=3^{2} =9[/tex]

  • the recursive formula:

[tex]\left \{ {{a(1)=1} \atop {a(n)=3^{n-1} }} \right.[/tex]

Hope it will find you well.