MathDB

2015 Guts #25

Source:

August 1, 2022

2015Guts Test

Problem Statement

Let

a_n

be a sequence with

a_0=1

and defined recursively by

a_{n+1}=\begin{cases}a_n+2&\text{if }n\text{ is even},\\2a_n&\text{if }n\text{ is odd.}\end{cases}

What are the last two digits of

a_{2015}