Not all mathematical sequences are easily separated into these two branches but are still incredibly interesting and applicable. For example, consider the half-life of a radioactive element – the common ratio is 2, and in a fixed amount of time, radioactive decay disintegrates the element by half. Geometric sequences on the other hand encompass a succession of numbers that share a common ratio between them. A familiar example would encompass the sequence of house numbers along a street you happen to drive by (e.g. Arithmetic sequences are defined by a string of consecutive numbers that have a common difference between them. You probably began differentiating between these two types of sequences while completing grade 11 math.
arithmetic progression) and geometrics sequences (i.e. Patterns within mathematical sequences provide the key that reveals a common thread of how each number is connected to one another.īroadly speaking, mathematical sequences can be categorized into two major groups: arithmetic sequences (i.e. Each number within a mathematical sequence is identified as a term. Simply described, a math sequence is a group of numbers that follow a specific pattern. A more relevant memory today might be one of you reciting your times table. One’s earliest recollection of a math sequence probably began at the age of two, when you started counting to ten. Math sequences can be discovered in your everyday life.
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