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A Difficult Sequence

Posted by Al Gelman under Tom (37 Responds)

This is a tough one.
What is the next number in this sequence:
1,4,9,16, …
Note: the answer is NOT 25

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Pick a number… any number

Posted by Al Gelman under Tom (33 Responds)

Here is a puzzle to keep you busy on a cold winter’s night. Perhaps more than one!
The challenge is to express ANY positive integer using the number 2 precisely four times, and using only well-known mathematical symbols. (You can’t make up your own!)
Here are the first four.
1= (2+2) / (2+2)
2= (2+2) + (2+2)
3= (2 x [...]

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