Find the fourth term of infinite geometric sequence if the sum of the second and the third term is equal to 3 and the sum of the geometric sequence is equal to 8.
The Common Ratio is a rational number.

[tex]|q| \ \textless \ 1 \ \textless \ =\ \textgreater \ \lim q^n = 0\\=\ \textgreater \ S = \frac{a_{1}}{1 - r}\\S = 8\\a_2 + a_3 = 3\\a_4 = ?[/tex]