A particle moves in a straight line so that its speed is constant for a mile and then changes abruptly for the next mile and is constant for that mile, then changes again, and so on. It moves so that its speed for a given mile varies inversely as the total integral number of miles previously traveled. If the second mile is traversed in 2 hours, how long does it take to travel the nth mile?
Make a chart.
|So 1 =||1||· t, so t = 2(n – 1).|
|2(n – 1)|