MathDB
Problems
Contests
International Contests
Tournament Of Towns
1983 Tournament Of Towns
(047) 4
(047) 4
Part of
1983 Tournament Of Towns
Problems
(1)
TOT 047 1983 Autumn J4 S4 monotone increasing a_{a_k} = 3k
Source:
8/18/2019
a
1
,
a
2
,
a
3
,
.
.
.
a_1,a_2,a_3,...
a
1
,
a
2
,
a
3
,
...
is a monotone increasing sequence of natural numbers. It is known that for any
k
,
a
a
k
=
3
k
k, a_{a_k} = 3k
k
,
a
a
k
=
3
k
. a) Find
a
100
a_{100}
a
100
. b) Find
a
1983
a_{1983}
a
1983
.(A Andjans, Riga)PS. (a) for Juniors, (b) for Seniors
algebra
Sequence
Integer sequence