2025 TJC P1 Q1

The sequence \(\{u_n\}\) is a geometric sequence with first term \(a\) and common ratio \(\frac{3}{2}\), where \(a > 0\).

Another sequence \(\{v_n\}\) is defined by \(v_n = \frac{9}{u_n}\) for all positive integers \(n\).

1. Show that \(\{v_n\}\) is also a geometric sequence.[2]
2. Given that \(v_2 = u_2\), find the value of \(a\).[2]