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Putnam
1960 Putnam
A3
A3
Part of
1960 Putnam
Problems
(1)
Putnam 1960 A3
Source: Putnam 1960
6/11/2022
Show that if
t
1
,
t
2
,
t
3
,
t
4
,
t
5
t_1 , t_2, t_3, t_4, t_5
t
1
,
t
2
,
t
3
,
t
4
,
t
5
are real numbers, then
∑
j
=
1
5
(
1
−
t
j
)
exp
(
∑
k
=
1
j
t
k
)
≤
e
e
e
e
.
\sum_{j=1}^{5} (1-t_j )\exp \left( \sum_{k=1}^{j} t_k \right) \leq e^{e^{e^{e}}}.
j
=
1
∑
5
(
1
−
t
j
)
exp
(
k
=
1
∑
j
t
k
)
≤
e
e
e
e
.
Putnam
inequalities