Question

check the question in attachment​

Answer 1

$\frac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } \\ \\ \frac{5 \times {5}^{2n + 2} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {5}^{2n + 2} } \\ \\ \frac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{ {5}^{2n + 3 + 1} - {5}^{2n + 2} } \\ \\ \frac{ {5}^{2n + 3} - {5}^{2n + 4} }{ {5}^{2n + 4} - {5}^{2n + 2} } \\ \\ \frac{ {5}^{2n + 3} }{ {5}^{2n + 2} } \\ \\ {5}^{2n + 3 - 2n - 2 } \\ \\ {5}^{1} \\ \\ 5.$