Matt wins a "Magic the Gathering" trading card game tournament at his local game shop and is given two options as a prize:

Option A: 2 pack the first week, 8 packs the second week, 32 packs the third week, 128 packs the fourth week and so on for 6 weeks
Option B: 2500 packs of the newest set of "Magic the Gathering" cards now.

Part A: To obtain the most packs after 6 weeks, Matt should choose option A or B? ______


Part B: What is the difference in the total number of packs between the two options? _______

3. Using the geometric sequence: 2,1/2,1/8,...,1/512 , find the approximate sum
of the geometric series. ___________
(Round to the nearest whole number)

PLEASE SHOW WORK