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2010 Stanford Mathematics Tournament
6
6
Part of
2010 Stanford Mathematics Tournament
Problems
(2)
SMT 2010 Algebra Problem 6
Source:
7/27/2011
Consider 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 first
n
n
n
terms sum up to
2010.
2010.
2010.
SMT 2010 General #6
Source:
2/11/2012
A triangle has side lengths
7
,
9
,
7, 9,
7
,
9
,
and
12
12
12
. What is the area of the triangle?
geometry
perimeter