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Chapter 8: Problem 73

What is a sequence? Give an example with your description.

Short Answer

Expert verified
A sequence is an ordered set of items, usually numbers, in which each item is associated with a unique index. An example is the sequence of natural numbers: 1, 2, 3, 4, 5, 6, ..., and so on endlessly.

Step by step solution

01

Definition Of A Sequence

A sequence is a set of things (like numbers) that are in order. Each element in a sequence is associated with a unique integer known as its index. The sequence can be finite (has a specific number of elements) or infinite (doesn't have a specified number of elements).
02

Example Of A Sequence

An example of a sequence is the series of natural numbers: 1, 2, 3, 4, 5, 6, ..., and so on. Here, each number has its unique index that corresponds to its position in the sequence. The sequence is infinite because it has no specific end; it continues indefinitely.

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