McKenzie discovered two water bottles in the classroom today. Both were half-full. She has her own bottle, so she doesn’t need them. She started playing the following game with the bottles. (a) She poured half of the water from the first bottle into the second bottle. (b) Then she poured half of the water from the second bottle into the first bottle. She has a lot of time on her hands, so she decided to repeat the above two steps 2024 times!! Find the amount of water left in each bottle after this whole 2 × 2024 steps.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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McKenzie discovered two water bottles in the classroom today. Both were half-full.
She has her own bottle, so she doesn’t need them. She started playing the following
game with the bottles.
(a) She poured half of the water from the first bottle into the second bottle.
(b) Then she poured half of the water from the second bottle into the first bottle.
She has a lot of time on her hands, so she decided to repeat the above two steps 2024
times!! Find the amount of water left in each bottle after this whole 2 × 2024 steps.

 
 
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