| A | B |
| sequence | an ordered list of numbers called the terms of the sequence. |
| terms | numbers in a sequence |
| finite sequence | has a last term |
| infinite sequence | has no last term |
| recursive formula | A formula for a squence that expresses the value of the nth term of a sequence, an, using the term before it , a n-1 |
| arithmetic sequence | A sequence in which the difference between any term and the termbefore it is constant. |
| geometric sequence | A sequence in which the ratio of any term to the term before it is constant. |
| series | The indicated sum of the terms of a sequence. |
| arithmetric series | A series whose terms form an arithmetric sequence |
| sigma notation | A form of notation using the summation symbol (a backwards Z) to express a series |
| geometric series | A series whose terms for a geometric sequence |
| partial sum | The sum of the first n terms of an infinite series |
| geometric mean | The mean of any two positive numbers |