### Recent Comments

Moor Xu on 2013 Pi Day | |

peterthedestroyer on 2013 Pi Day | |

Against the “R… on Contest Math | |

The Ram on Putnam vs USAMO | |

pi on Analysis of the 24 Game |

### Blogroll

- Annoying Precision
- bhayankar
- Climbing Mount Bourbaki
- darkdieuguerre
- Delta Epsilons
- Doron Zeilberger's Opinions
- Gowers's Weblog
- Isotropic Bovines
- Matt's Blog
- penguinwarlock
- Philosophically Cynical
- Primitive Sodium
- Quantum Attack
- Shtetl-Optimized
- Sic Semper Tyrannosaurus
- Spontaneous Composition
- The CRing Project
- What's new

### Archives

- 47,082 hits

Pingback: A Converging Rabbit « Rambling Thoughts

The distance is miles. Assume the rabbit starts at the origin of the complex plane and walks on it. The rabbit’s walk can be modeled by the series

,

which converges to (according to Wolframalpha). So the distance to the origin is .

I’ve now noticed that you have already posted a solution.

After reading your post I recognize that the above series is a geometric series with ratio .