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Chapter 12: Q 5. (page 808)

A(n) _______ is a function whose domain is the set of positive integers.

Short Answer

Expert verified

A sequence is a function whose domain is the set of positive integers.

Step by step solution

01

Step 1. Write the given information.

A(n) _______ is a function whose domain is the set of positive integers.

02

Step 2. Fill in the blanks.

A sequence is a function whose domain is the set of positive integers.

Consider the function f(x)=1x.The function has the following set points, (1,1),2,12,3,13,and so on, which are all positive.

Therfore,

A sequence is a function whose domain is the set of positive integers.

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Most popular questions from this chapter

In Problems 11–16, evaluate each factorial expression.

10!

If a series does not converge, it is called a ________.

In Problems 37–50, a sequence is defined recursively. Write down the first five terms.

a1=2;an=3+an-1

In Problems 17–28, write down the first five terms of each sequence.

bn=2n+12n

In Problems 37–50, a sequence is defined recursively. Write down the first five terms.

a1=A;an=ran-1,r≠0
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