Question

PLEASE SOMEONE JUST LOOK!

Construct a set in the following way. Start with the set {1, 2}. Add all other positive powers of 2 to the set (that is, 4, 8, 16, and so on) until you get a power of 2 larger than 40. This set is _____.

Check all that apply.

A. continuous
B. finite
C. discrete
D. infinite

Answer 1

Can you name a power of two larger than 40?

Answer 2

NO? :/

Answer 3

ITS REALLY HARD AND I NEED THIS TO GRADUATE AND I DONT REMEMBER ANY OF THIS STUFF IM STRESSED OUT :( SO THATS WHY I CAME TO THIS SITE

Answer 4

Can you list some more powers of 2 after me?
1, 2, 4, 8, 16, ...
What's the next one?

Answer 5

32?

Answer 6

bingo. Can you do the one after that?

Answer 7

64?

Answer 8

Right again! Now is 64 greater than 40?

Answer 9

lol yes!?

Answer 10

This means that our set is {1, 2, 4, 8, 16, 32}. Can you see why that is?

Answer 11

THERE ALL MULTIPLES OF 2?

Answer 12

Yes. So these are all the powers of two that aren't greater than 40.

Answer 13

Let's go to the options you have now. Is this set infinite, or finite?

Answer 14

infinite?

Answer 15

nope. We only have 6 numbers in our set. If it were infinite, we would say it has \(\infty\) numbers.

Answer 16

O SO THE "sET" FINITE

Answer 17

Correct.

Now can you tell me if the set is continuous or discrete?

Answer 18

ITS NOT CONTINUOUS BECAUASE IT STOPS

Answer 19

so is it descrete
?

Answer 20

Correct. It is not continuous, so it must be discrete.

Answer 21

so finite and descrete !

Answer 22

Perfect.

Answer 23

thanks george!

Answer 24

You're welcome :)