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Mathematics, 25.03.2022 04:00 RealGibbon857

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.

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

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