Respuesta :

Answer:

  [tex]\sf \t_{43} = 381[/tex]381

Step-by-step explanation:

Arithmetic sequence:

 3,12,21 ..........

Find the common difference.

    Common difference = second term  - first term

                                   d  = 12 -3

                                   [tex]\sf \boxed{\bf d = 9}[/tex]

   [tex]\sf \boxed{\bf t_n = a + (n-1)*d}[/tex]

n = 43 ; d = 9  ; a = 3

  [tex]\sf t_{43}=3 + (43-1)*9\\\\[/tex]

        = 3 + 42*9

        = 3 + 378

        = 381