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Putnam
1959 Putnam
B2
B2
Part of
1959 Putnam
Problems
(1)
Putnam 1959 B2
Source: Putnam 1959
6/15/2022
Let
c
c
c
be a positive real number. Prove that
c
c
c
can be expressed in infinitely many ways as a sum of infinitely many distinct terms selected from the sequence
(
1
10
n
)
n
∈
N
\left( \frac{1}{10n} \right)_{n\in \mathbb{N}}
(
10
n
1
)
n
∈
N
Putnam
Sequence
series