## anonymous one year ago I don't understand this problem: Write an infinite geometric series that converges to 2. Show your work.

1. anonymous

What does is mean by converges to 2?

2. jim_thompson5910

3. dan815

|dw:1436403340796:dw|

4. dan815

it goes to 2

5. dan815

thats what it means by convergence

6. dan815

|dw:1436403560866:dw|

7. dan815

here is a picture to help you work it out geometricall lets take 2 squares each of area 1 side by side

8. dan815

|dw:1436403664033:dw|

9. dan815

|dw:1436403681530:dw|

10. dan815

|dw:1436403715523:dw|

11. Empty

You can solve this: $2=\frac{1}{1-x}$ since the right hand side is the infinite geometric series and the left hand is what it's supposed to converge to, 2. The value x is the bit that's infinitely in the geometric series.