Respuesta :

Answer:

[tex]a_{n+1} = a_n \times 2[/tex]

OR

[tex]a_n = 3 \times 2^{n-1}[/tex]

Step-by-step explanation:

a1 = 3

a2 = 3 x 2 = 6                 [ a1 x 2 ]

a3 = 6 x 2 = 12                [ a2 x 2]

a4 = 12 x 2 = 24              [ a3 x 2 ]

a5 = 24 x 2 = 48             [ a4 x 2 ]

Therefore the recursive formula is :

        [tex]a_{n+1} = a_n \times 2[/tex]

                          OR

[tex]a_1 = 3 \times 2^{0}\\\\a_2 = 3 \times 2^1\\\\a_3 = 3 \times 2 ^2\\\\\\Therefore , a_n = 3 \times 2^{n-1}[/tex]