Sequences: A sequence is of the form where the are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers. Sequences may be defined in various ways:

By listing, and appealing (via the three dots) to your intuition. Suppose the sequence is Then the -th term is
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Explicitly. For example, suppose . Then , , and .

Recursively. For example, the Fibonacci Sequence is defined by Thus , , and .

Also a sequence may or may not have a limit. For the following sequences, enter the limit, or enter the letter "D" if the sequence diverges.
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You can earn partial credit on this problem.