-
Nidhs
- Senior | Next Rank: 100 Posts
- Posts: 69
- Joined: Sun Jan 06, 2008 7:12 pm
- Thanked: 3 times
- Followed by:1 members
Set T is an infinite sequence of positive integers. A "superset" is a sequence in which there is a finite number of multiples of three. Is T a superset?
(1) The first six integers in T are multiples of three.
(2) An infinite number of integers in T are multiples of four.
Please let me know if my reasoning is correct.
My reasoning is as follows
Set T could be { 729, 243, 81, 9, 3, 1/3, 1/9, 1/27...........}, satisfy st1 and answer "yes"
or set T could be { 3,6,9,12,15,18........}, satisfy eqn 1 and answer "no"
similar goes for st2.
Adding both these together also....leaves us with examples that give us both yes and no.
(1) The first six integers in T are multiples of three.
(2) An infinite number of integers in T are multiples of four.
Please let me know if my reasoning is correct.
My reasoning is as follows
Set T could be { 729, 243, 81, 9, 3, 1/3, 1/9, 1/27...........}, satisfy st1 and answer "yes"
or set T could be { 3,6,9,12,15,18........}, satisfy eqn 1 and answer "no"
similar goes for st2.
Adding both these together also....leaves us with examples that give us both yes and no.
