Question

what is the set-builder notation of {2,3,5,7,11,13,17,19}

Answer 1

\(\{p\in \mathbb{Z} \mid 2\le p \le 19 \text{ and } p \text{ is prime}\}\)

Answer 2

there are many....

Answer 3

\(\{p\in \mathbb{N} \mid p=2,3,5,7,11,13,17,19\}\)

Answer 4

ohhh I was thinking that the difference btwn the first term is 1
the difference btwn the second and third term is 2
the difference btwn the third and 4th term is 3

Answer 5

that wont work for the next one

Answer 6

But not sure how I would apply the set builder notation

Answer 7

13-11 = 2

Answer 8

dang it u r right lol

Answer 9

19-17 = 2

Answer 10

if that worked you would be one of the richest men in the world

Answer 11

hahahaha :P

Answer 12

didnt even bother solving that far

Answer 13

but for fun you should try and find the set builder notation for that one you described. ;)

Answer 14

lol lemme sit on it

Answer 15

Hey @zzr0ck3r I have the formula but how would you transform that into a set builder notation
\[S_n=a_{n-1}+n\]
Im gonna give it a shot... You can gear me into the right direction

Answer 16

\[ \{ p\in {Z}\| ~p_=p_{n-1}+n\text{ where}~ 0\leq n\leq \infty \text{ and } p_0=2\}\]
Or
\[ \{ p\in {Z}\| ~p_n=p_{n-1}+n\text{ where}~ 0\leq n\leq \infty \text{ and } p_0=2\}\]

Answer 17

:)