... more accurately. It neither has a general term or a formula. Two important categories of sequences are arithmetic sequences, and geometric sequences. Both are examples of a recursive sequence, a sequence in which each term, besides of the first term, depends on the previous term. Both of these types of sequences will be discussed. When the terms of a sequence are summed, the result is called a series. Some series increase without bound as n increases, but others approach a limit. Those that do approach a limit are called convergent series, and those that don't are called divergent series. Divergent series sometimes increase without bound, sometimes decrease without bound, and other times oscillate between values without approaching a single limit. There are also certain formulas for calculating the limits of series that I will focus on. The study of series is an important part of calculus, and it all starts ...

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