Concept

Sequence

A sequence is either a finite or infinite list of numbers which are called terms. One example of a sequence is 1,4,7,10,13, 1,\, 4, \, 7, \, 10, \, 13, \ldots The dots imply that the sequence continues infinitely. The terms are often represented as a1,a_1, a2,a_2, a3a_3, and so on, where the numbers at the bottom right of the letters are called indices and specify the position of the terms in the sequence. In the example, a1=1,a2=4,a3=7, etc. a_1=1, \quad a_2=4, \quad a_3=7, \ \text{etc.} Several terms can have the same value, even though this is not the case here. Two specific types of sequences are arithmetic sequences and geometric sequences.

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