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2018 Canadian Senior Mathematics Contest
A4
CSMC 2018 Part A Problem 4
CSMC 2018 Part A Problem 4
Source:
November 24, 2018
CSMC
CSMC 2018
Problem Statement
Suppose that
n
n
n
is a positive integer and that
a
a
a
is the integer equal to
1
0
2
n
−
1
3
(
1
0
n
+
1
)
.
\frac{10^{2n}-1}{3\left(10^n+1\right)}.
3
(
1
0
n
+
1
)
1
0
2
n
−
1
.
If the sum of the digits of
a
a
a
is 567, what is the value of
n
n
n
?
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