MathDB

Math Prize 2014 Problem 2

Source:

September 28, 2014

AMCUSA(J)MOUSAMO

Problem Statement

Let

x_1

x_2

, …,

x_{10}

be 10 numbers. Suppose that

x_i + 2 x_{i + 1} = 1

for each

i

from 1 through 9. What is the value of

x_1 + 512 x_{10}