When a value for the integer n is entered into the formula, it will yield the nth term.
It is occasionally possible to find a formula for the sequence’s general term given multiple terms in the series.
Finite sequences are sometimes referred to as strings or words, whereas infinite sequences are called streams. Sequences can be finite, as in this case, or endless, as in the case of all even positive integers (2, 4, 6). Unlike a set, order matters, and a phrase might appear often in the sequence at different points.įor example, (F, I, L, E) is a letter sequence that varies from (L, I, F, E) because the order matters, and (1, 1, 2, 3, 5, 8) is a legitimate sequence since the number 1 appears twice. The length of the sequence is defined as the number of ordered elements (potentially infinite).
For example, if a four element sequence is 1, 3, 5, and 9, the corresponding series will be 1 + 3 + 5 + 9, with the sum or value of the series being 18. A series is the sum of the elements in a sequence, whereas a sequence is the grouped arrangement of numbers methodically and according to specified principles. One of the important concepts of Arithmetic is sequence and series.
