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Chapter 8: Problem 67

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

Short Answer

Expert verified
A sequence is an ordered list of elements where the arrangement of elements is crucial, usually determined by a rule. Examples include arithmetic sequence like 2, 4, 6, 8, ... and geometric sequence like 3, 6, 12, 24, ...

Step by step solution

01

Define Sequence

A sequence is an ordered list of elements or objects. The elements in a sequence are typically distinguished by their positions. The order or arrangement of the elements in a sequence is crucial, and is usually determined by a rule that specifies the pattern or relationship between the elements.
02

Provide Examples

Two common examples of sequences include: \n1. Arithmetic Sequence: It is a sequence where each term is obtained by adding a constant difference to the previous term. For instance in the sequence 2, 4, 6, 8, ... , each term is obtained by adding 2 to the previous term. \n2. Geometric Sequence: It is a sequence where each term is obtained by multiplying the previous term by a constant factor. For instance in the sequence 3, 6, 12, 24, ... , each term is obtained by multiplying the previous term by 2.

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