Fill in the blanks with numbers to make the statement below true:
The number of 1′s in this sentence is ___; the number of 2′s is ___; the number of 3′s is ____; and the number of 4′s is ___.
The brainteaser above has two solutions, but what happens if you add more lines to this brainteaser…?
The number of 1′s in this sentence is ___; the number of 2′s is ___; the number of 3′s is ____; the number of 4′s is ____; and the number of 5′s is ___.
or
The number of 1′s in this sentence is ___; the number of 2′s is ___; the number of 3′s is ____; the number of 4′s is ____; the number of 5′s is ____; and the number of 6′s is ___.
If we extend the problem with algebraic variables…
The number of 1′s in this sentence is ___; the number of 2′s is ___; the number of 3′s is ____; the number of 4′s is ____; the number of 5′s is ____; the number of 6′s is ____;… and the number of n′s is ___.
If you solved this brainteaser (and the extensions!) what patterns did you notice?
We’ll post the solution later next week, so check back here. In the meantime, please share stories of how your family approached this puzzle and feel free to discuss possible solutions! We’ll award a full version of Motion Math: Wings to one of the commenters below!

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