Thread: Sequences equal?

There are two sequences:
and each element of the sequences is 2 or 3. We know that:

Prove that the two sequences are equals.

Any help would be appreciated!

Originally Posted by doug

There are two sequences:
and each element of the sequences is 2 or 3. We know that:

Prove that the two sequences are equals.

Any help would be appreciated!

By reductio ad absurdum. First, show that it is enough to suppose (this already is a little nice problem!),

say .

Now, show that and get a contradiction.

Tonio