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Students surely can recognize the number that is the limit of this sequence.
That's an arithmetic sequence.
Arithmetic Sequence
A spatial sequence refers to a set of events separated in space - irrespective of their separation in time. A time sequence is the other way around. Sequences need not repeat themselves, but are more interesting to many people if they are. An example of a repeating spatial sequence may be the pattern of bricks in a wall. The pattern repeats itself after some distance. An example of a repeating time sequence is the seasons of the year.
That'd be the Fibonnaci sequence (this time without the wikipedia URL :P)