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2014 Math Prize For Girls Problems
2
2
Part of
2014 Math Prize For Girls Problems
Problems
(1)
Math Prize 2014 Problem 2
Source:
9/28/2014
Let
x
1
x_1
x
1
,
x
2
x_2
x
2
, …,
x
10
x_{10}
x
10
be 10 numbers. Suppose that
x
i
+
2
x
i
+
1
=
1
x_i + 2 x_{i + 1} = 1
x
i
+
2
x
i
+
1
=
1
for each
i
i
i
from 1 through 9. What is the value of
x
1
+
512
x
10
x_1 + 512 x_{10}
x
1
+
512
x
10
?
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