We now verify that the sequence converges to 0. Note that \( G(t) = t(1 - ract4) \). For \( t \in (0, 4) \), \( 1 - ract4 \in (0,1) \), so \( G(t) < t \) as long as \( t > 0 \). Since \( b_1 = 1 \in (0,4) \), and \( b_n+1 = G(b_n) < b_n \), the sequence is positive and strictly decreasing. A bounded decreasing sequence converges. The only fixed point in \( [0,4) \) satisfying \( G(t) = t \) is \( t = 0 \). Hence: - Groen Casting