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National and Regional Contests
Serbia Contests
Serbia JBMO TST
2012 Serbia JBMO TST
3
3
Part of
2012 Serbia JBMO TST
Problems
(1)
a, \overline{bcd}, \overline{aef}, \overline{cfg}, \overline{hci},
Source: Serbia JBMO TST 2012
10/6/2023
Let
a
,
b
c
d
‾
,
a
e
f
‾
,
c
f
g
‾
,
h
c
i
‾
,
d
e
a
‾
,
i
f
d
‾
,
j
g
f
‾
,
b
f
e
g
‾
,
…
a, \overline{bcd}, \overline{aef}, \overline{cfg}, \overline{hci}, \overline{dea}, \overline{ifd}, \overline{jgf}, \overline{bfeg},\ldots
a
,
b
c
d
,
a
e
f
,
c
f
g
,
h
c
i
,
d
e
a
,
i
fd
,
j
g
f
,
b
f
e
g
,
…
be an increasing arithmetic progression. Find the
16
16
16
th term of this sequence.
arithmetic sequence