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India LIMIT
2020 LIMIT
2020 LIMIT Category 1
10
Base change of a rational
Base change of a rational
Source: LIMIT 2020 Cat 1 Obj P10
May 2, 2020
number theory
limit
Problem Statement
For natural number
t
t
t
, the repeating base-
t
t
t
representation of the (base-ten) rational number
7
51
\frac{7}{51}
51
7
is
0.
23
‾
t
=
0.232323..
.
t
0.\overline{23}_t=0.232323..._t
0.
23
t
=
0.232323..
.
t
. What is
t
t
t
?
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