John,

Your rationale for the first puzzle is right.   

Regarding the second puzzle, I at first said you did not solve it, then I said 
you did.  Upon further review (and
double-checking), the extension is not correct, except for the first element.  

You probably made the same minor error which caused my confusion.  I would 
explain what that is, but if you don't have the answer,
it would be a hint.  If you provide your rational I can tell you with 
certainty.  My apologies for the mix ups.

-Dan

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