Problem #PRU-61314

Problems Algebra Sequences Recurrent relations Number sequences Recurrent relations (other) Limit of a sequence, convergence Calculus

Problem

Find the limit of the sequence that is given by the following conditions \(a_1 = 2\), \(a_{n + 1} = a_n/2 + a_n^2/8\) (\(n \geq 1\)).