MathDB

2011 PUMaC Algebra A6 / B7

Source:

September 24, 2019

algebra

Problem Statement

A sequence of real numbers

\{a_n\}_{n = 1}^\infty (n=1,2,...)

has the following property: \begin{align*} 6a_n+5a_{n-2}=20+11a_{n-1}\ (\text{for }n\geq3). \end{align*} The first two elements are

a_1=0, a_2=1

. Find the integer closest to

a_{2011}