### Home > INT3 > Chapter 10 > Lesson 10.2.2 > Problem 10-130

10-130.

A hiker decides to spend his days walking around the countryside. On the first day he walks 25 miles, but on the following days he finds he cannot keep up that pace. On average he travels a 5% shorter distance each day. If he can walk forever, how far will he go? Homework Help ✎

Treat this as an infinite geometric series with *a* = 25 and *r* = 0.95.

For additional help see problem 10-117.