Understanding Sequences with Finitely Many Terms of 1

[pivoxa15]

Homework Statement

What does this mean:
Set A consists of those sequences all but finitely many of whose terms are 1.

The Attempt at a Solution

In set A every sequence constains 1 somewhere but only finitely many terms are 1.

 

[morphism]

It means if a sequence is in A, only finitely many of its entries aren't '1'.

E.g. (1,0,1,2,1,1,1,1,1,1,...) is in A, but (1,1,0,0,0,0,0,...) and (0,2,4,6,...) aren't.

 

[HallsofIvy]

Homework Statement

What does this mean:
Set A consists of those sequences all but finitely many of whose terms are 1.

The Attempt at a Solution

In set A every sequence constains 1 somewhere but only finitely many terms are 1.

Your statement is pretty much the opposite of what you are given! The original statement is "all but finitely many terms are 1" while your statement says all but finitely many are 1.

 

[pivoxa15]

Your statement is pretty much the opposite of what you are given! The original statement is "all but finitely many terms are 1" while your statement says all but finitely many are 1.

tricky, tricky.

Now I understand these statements. It occurs often in mathematics.