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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 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=-1;a2=1;an=an-2+nan-1

In Problems 51鈥�60, write out each sum.

鈭�k=1nk+12

In Problems 61鈥�70, express each sum using summation notation.

1e+2e2+3e3+.........+nen

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

鈭�k=1鈭�332k-1

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

a1=2;an=2+an-1
See all solutions

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