Solution: Start with $ b_1 = 2 $. Compute $ b_2 = Q(2) = 2^2 - rac{2^4}{4} = 4 - rac{16}{4} = 4 - 4 = 0 $. Then compute $ b_3 = Q(0) = 0^2 - rac{0^4}{4} = 0 - 0 = 0 $. Thus, $ b_3 = oxed{0} $.

Thu, 30 Apr 2026 19:21:32 +0000

Understanding the Recursive Sequence: A Step-by-Step Solution In mathematical sequences, recursive definitions often reveal elegant patterns that lead to surprising outcomes. One such case begins with a simple initial value and a defined recurrence relation. Let’s explore the solution step by step, starting with $ b_1 = 2 $, and analyzing how the recurrence relation drives the sequence to a fixed point. ### The Recurrence Relation The sequence evolves via the recurrence: