The basic idea is that each term is increasing by . Thus, using the formula from Wikipedia, the limit of the sum will equal

]]>Yes, part of the problem is how the question is asked. Probability can be very sneaky.

Your reasoning is correct. As you draw more and more cards, the probability that you have drawn the A♠ increases until you have drawn all 52, in which case you are certain that the A♠ is in your drawn pile. Does that help?

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