The general term of a sequence is the expression that represents all the terms of the sequence (there are usually infinitive terms!).The general term is expressed by an algebraic expression that shows therelation between the that term.
A sequenceis increasing if every term is greater the previous one and a sequence is decreasing if every term is less than the previous.
Some sequences are special because they have a singular structure.
The difference of any two successive terms of the sequence is aconstant. They can be defined by the first term and the constant value called common difference. These sequences always increase (or decrease). These sequences are called arithmetic progressions.
A geometric progression is a sequence where every term is generated by multiplying the previous one by a fixed number called the common ratio of the progression.