Making a geometric series that converges to a number

[jdawg]

Homework Statement

How do you come up with a geometric series that converges to a number like 2?
I'm kind of confused on how to work backwards through the problem. If someone could provide me with an example, that would be great!

Homework Equations

The Attempt at a Solution

 

[Dick]

Homework Statement

How do you come up with a geometric series that converges to a number like 2?
I'm kind of confused on how to work backwards through the problem. If someone could provide me with an example, that would be great!

Homework Equations

The Attempt at a Solution

What do you know about the sum of a geometric series? It's probably not that big of a backward step.

 

[Simon Bridge]

You use the formula for the sum to infinity.

 

[Curious3141]

Homework Statement

How do you come up with a geometric series that converges to a number like 2?
I'm kind of confused on how to work backwards through the problem. If someone could provide me with an example, that would be great!

Homework Equations

The Attempt at a Solution

Can you think of a geometric series that sums to 1? What happens if you multiply every term by 2?