Example: Take the sequence . Extract every other member, starting with the first. Then do the same, starting with the second.
The sequence = {-1, 1, -1, 1, -1, 1, ...}. Therefore:

If we extract every second number, starting with the first, we get:

This subsequence now converges to -1.

If we extract every second number, starting with the second, we get:

This subsequence now converges to -1.
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