A sequence is a set of elements in which the order and number of elements matters. Normally, in a set, repeated elements are not allowed and their order is irrelevant. For example, a sequence can look like
S = {1,3,2,10,2,10}
but a set with these same numbers would look like
S' = {1,2,3,10}
A function, also called a mapping, is a way in which elements from one set are mapped into elements of another set.
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fundamental difference between a polynomial function and an exponential function?
A finite sequence has a beginning and an end, whereas an infinite sequence has no end.
A sequence of numbers in which the difference between any two consecutive terms is the same is called an arithmetic sequence or arithmetic progression. For example, in the sequence 2, 5, 8, 11, the common difference is 3. This consistent difference allows for predictable patterns and calculations within the sequence.
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
sequence number 5.5