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2010 Putnam
B1
B1
Part of
2010 Putnam
Problems
(1)
Putnam 2010 B1
Source:
12/6/2010
Is there an infinite sequence of real numbers
a
1
,
a
2
,
a
3
,
…
a_1,a_2,a_3,\dots
a
1
,
a
2
,
a
3
,
…
such that
a
1
m
+
a
2
m
+
a
3
m
+
⋯
=
m
a_1^m+a_2^m+a_3^m+\cdots=m
a
1
m
+
a
2
m
+
a
3
m
+
⋯
=
m
for every positive integer
m
?
m?
m
?
Putnam
inequalities
vector
function
parameterization
limit
geometric sequence