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Spain Contests
Spain Mathematical Olympiad
1973 Spain Mathematical Olympiad
1
1
Part of
1973 Spain Mathematical Olympiad
Problems
(1)
min term of a_n = 1/4 n^4 - 10n^2(n - 1)
Source: Spanish Mathematical Olympiad 1973 P1
12/5/2022
Given the sequence
(
a
n
)
(a_n)
(
a
n
)
, in which
a
n
=
1
4
n
4
−
10
n
2
(
n
−
1
)
a_n =\frac14 n^4 - 10n^2(n - 1)
a
n
=
4
1
n
4
−
10
n
2
(
n
−
1
)
, with
n
=
0
,
1
,
2
,
.
.
.
n = 0, 1, 2,...
n
=
0
,
1
,
2
,
...
Determine the smallest term of the sequence.
Sequence
algebra