Hey guys,
Please help me with this question. Thanks!

The tortoise and the hare are running a 2000 m race. The tortoise travels 20 m every minute. The hare travels 2000m in the first minute but, in each minute after that, travels only half of the remaining distance ( in the 2nd minute, the hare travels half of the remaining 1000 m, and so on).
a) Write the series for the distance the tortoise travels for the first few minutes of the race, where S(n) represents the distance the tortoise travels in that minute.

Question

Hey guys, 
Please help me with this question. Thanks!

The tortoise and the hare are running a 2000 m race. The tortoise travels 20 m every minute. The hare travels 2000m in the first minute but, in each minute after that, travels only half of the remaining distance ( in the 2nd minute, the hare travels half of the remaining 1000 m, and so on). 
a)	Write the series for the distance the tortoise travels for the first few minutes of the race, where S(n) represents the distance the tortoise travels in that minute.

dumbcow · Answer

It will be a geometric sequence with common ratio of 1/2
1000,500,250,125...
or in general terms
S(n) = 2000(1/2)^n