Problema Solution

Jake ran around the athletic track 6 times . Each lap took him 0.1 times longer than the previous lap. He ran the first lap in one minute. How long did it take him to complete the final lap? Round to the nearest tenth of a second?

Answer provided by our tutors

First lap: 1 min

Second lap: 1 + 0.1*1 = 1.1

Third lap: 1.1 + 0.1*1.1 = 1.1^2

Forth lap: 1.1^3

Fifth lap: 1.1^4

Sixth lap: 1.1^5 = 1.61051 min = 96.6 sec

Jake needs 96.6 seconds the complete the final lap.