How Do You Express a Sequence Using Set Builder Notation?

[reenmachine]

Homework Statement

Build a notation for the set: $\{ ... , -8 , -3 , 2 , 7 , 12 , 17 ,...\}$

Homework Equations

$2+5(0) = 2$
$2+5(1) = 7$
$2+5(-1) = -3$

etc...

The Attempt at a Solution

$\{ \ 2+5y \ | \ y \in \mathbb{Z} \ \}$

Take note that you could replace $2$ by any elements of the set and it would still work.

any thoughts appreciated!

thank you!

 

[Mark44]

Homework Statement

Build a notation for the set: $\{ ... , -8 , -3 , 2 , 7 , 12 , 17 ,...\}$

Homework Equations

$2+5(0) = 2$
$2+5(1) = 7$
$2+5(-1) = -3$

etc...

The Attempt at a Solution

$\{ \ 2+5y \ | \ y \in \mathbb{Z} \ \}$

Take note that you could replace $2$ by any elements of the set and it would still work.

any thoughts appreciated!

thank you!

Looks fine... Do you have a question?

 

[reenmachine]

No , just wanted to be sure it was correct.I'm slowly getting better at those.

Is that forbidden in this section? If so , I was unaware of it.

thank you!

 

[Mark44]

No , just wanted to be sure it was correct.I'm slowly getting better at those.

Is that forbidden in this section? If so , I was unaware of it.

thank you!

No, it's OK to get confirmation that you're on the right track.