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.
Geometric sequences and series. A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r. Example. Write the first five terms of a geometric sequence in which a 1 =2 and r=3. We use the first given formula: Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas: Videolesson: use the formula for the sum of a geometric series to determine the sum when a 1 =4 and r=2 and we have 12 terms. 1  Pre-Algebra. 2  Algebra 1. 3  Algebra 2. 4  Geometry.