
MATHEMATICS  CASE STUDY



Introduction 
Driving Process


Tom
and Mary will travel to Los Angeles during their Charismas holiday.
They plan to start their trip from
Oklahoma City and drive half of the distance from Oklahoma City to Los
Angeles on their first day, then drive half of the remaining distance
every day until they get to Los Angeles.
What is known:
 The total distance is 1400 miles
 Each day they drive 1/2 of the remaining distance
 It is assumed that they get Los Angeles when the remain distance
is less than 10 miles.






Questions 








Approach 


 The driving process forms a sequence:
a_{n} = 1/2, 1/4,1/8, ..., 1/2^{n}, ...




