Which of the following represents an infinite set of numbers?

a.){1/4, 1/8, 1/16, 1/32}

b.){Whole numbers between 1 and 1,000,000}

c.){Natural numbers between 5 and 2000}

d.)Integers

Question

Which of the following represents an infinite set of numbers?

a.){1/4, 1/8, 1/16, 1/32}

b.){Whole numbers between 1 and 1,000,000}

c.){Natural numbers between 5 and 2000}

d.)Integers

nowhereman · Answer

Just count them.

anonymous · Answer

is it b ?

nowhereman · Answer

How many elements have you counted for each one?

anonymous · Answer

im confused ! : /

anonymous · Answer

Hello nowhereman, are you getting me?

nowhereman · Answer

Counting := assigning natural numbers to the elements of a given set in incrementing order. I'll take a) as an example: 1/4 -> 1, 1/8 -> 2, 1/16 -> 3, 1/32 -> 4; so there are 4 elements. Now do that for the other 3.

anonymous · Answer

B and D

anonymous · Answer

A is finite because there are only four number 1/4 1/8 1/16 1/32. B is infinity because there could be infinity decimal fraction

anonymous · Answer

C.says that the natural numbers, so C is finite.

anonymous · Answer

D.it is clear that the integers is infinity