Q. 1 Give precise mathematical defini... [FREE SOLUTION]

Chapter 7: Q. 1 (page 655)

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition or description with a graph or an algebraic example.
A sequence of real numbers, including the meaning of a term of the sequence.

Short Answer

Expert verified

A sequence of real numbers is a function from the set N of natural numbers to the set R of real numbers. For example, A sequence $(a_{n}) with a_{n} = \frac{1}{n} for all n 鈭� N$

Step by step solution

Step 1. Given Information

The given statement is a sequence of real numbers, including the meaning of a term of the sequence.

Step 2. Explanation

A sequence of real numbers is a function from the set N of natural numbers to the set R of real numbers. If $f : N 鈫� R$ is a sequence, and if $a_{n} = f (n) for n 鈭� N$ , then we write the sequence f as $(a_{n}) or (a_{1}, a_{2}, . . .)$

A sequence of real numbers is also called a real sequence.

For example, A sequencerole="math" localid="1649142506662" $(a_{n}) with a_{n} = \frac{1}{n} for all n 鈭� N$

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91影视

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition or description with a graph or an algebraic example.
A sequence of real numbers, including the meaning of a term of the sequence.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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91影视

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition or description with a graph or an algebraic example.A sequence of real numbers, including the meaning of a term of the sequence.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition or description with a graph or an algebraic example.
A sequence of real numbers, including the meaning of a term of the sequence.