Sequence, It is a list of numbers arranged in a specific order, following a rule., Term, It is each number in a sequence., Position (or Index), It is the place of a term in the sequence, usually counted as 1st term, 2nd term, and so on, Notation, It is a description where a1 is the first term, 𝑎2 is the second term, etc. In general, 𝑎𝑛 denotes the nth term., Rule (or Pattern Rule), It is a description of how the terms is formed or how they change from one to the next., Fibonacci Sequence, It is a sequence where each term after the first two is the sum of the two preceding terms., Finite Sequence, It has a specific number of terms – it has a beginning and an end. You can count all the terms. It stops after a certain point., Infinite Sequence, It has no end- it goes on forever. It keeps following the same rule endlessly. You can describe the rule, but you can’t list all the terms., Series, It is the sum of the terms of a sequence., Finite Series, It is a series with a definite number of terms., Infinite Series, It is a series that continues without end. Example: 1 + ½ + ¼ + 1/8 + … The nth term of a sequence is usually denoted by an., Partial Sum (Sn), It is the sum of the first n terms of a sequence., Sigma Notation (∑), It is a shorthand symbol used to express a series.

GENMATH WEEK 04

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