MathDB

2012 PUMaC Algebra A7 / B8

Source:

October 5, 2019

floor functionalgebra

Problem Statement

Let

a_n

be a sequence such that

a_1 = 1

and

a_{n+1} = \lfloor a_n +\sqrt{a_n} +\frac12 \rfloor

, where

\lfloor x \rfloor

denotes the greatest integer less than or equal to

x

. What are the last four digits of

a_{2012}