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2008 PUMaC Algebra A1 / B3
Source:
September 24, 2019
algebra
Problem Statement
Given the sequence
1
,
2
,
1
,
2
,
2
,
1
,
2
,
2
,
2
,
1
,
2
,
2
,
2
,
2
,
1
,
.
.
.
,
1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1,...,
1
,
2
,
1
,
2
,
2
,
1
,
2
,
2
,
2
,
1
,
2
,
2
,
2
,
2
,
1
,
...
,
find
n
n
n
such that the sum of the first
n
n
n
terms is
2008
2008
2008
or
2009
2009
2009
.
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