Though goals generally control objectives, objectives can also control goals as they unfold. For example, since a goal is general in nature, it may be refined and altered as objectives are completed. The completion of an objective or a series of them, could cause you to either raise or lower the ultimate goal.
For other uses, see Sequence (disambiguation). In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
A geometric sequence is a sequence such that each successive term is obtained from the previous term by multiplying by a fixed number called a common ratio. The sequence 5, 10, 20, 40, 80, .... is an example of a geometric sequence. The pattern is that we are always multiplying by a fixed number of 2 to the previous term to get to the next term. Be careful that you don't think that every sequence that has a pattern in multiplication is geometric.