Answer:
[tex]a_2 = 8[/tex]
[tex]a_3 = 18[/tex]
[tex]a_4 = 38[/tex]
Step-by-step explanation:
We are given the following recursive formula:
[tex]a_n = 2(a_{n-1}+1)[/tex]
And consider [tex]a_1 = 3[/tex]
a2
[tex]a_2 = 2(a_1 + 1) = 2(3 + 1) = 8[/tex]
a3
[tex]a_3 = 2(a_2 + 1) = 2(8 + 1) = 18[/tex]
a4
[tex]a_4 = 2(a_3 + 1) = 2(18 + 1) = 38[/tex]
