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Contests
National and Regional Contests
Korea Contests
Korea National Olympiad
1997 Korea National Olympiad
8
8
Part of
1997 Korea National Olympiad
Problems
(1)
Algebra like NT
Source: 1997 Korea National Olympiad #8
3/18/2018
For any positive integers
x
,
y
,
z
x,y,z
x
,
y
,
z
and
w
,
w,
w
,
prove that
x
2
,
y
2
,
z
2
x^2,y^2,z^2
x
2
,
y
2
,
z
2
and
w
2
w^2
w
2
cannot be four consecutive terms of arithmetic sequence.
arithmetic sequence