If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 5 days ? Choose the correct choice from the following answers
A) 1/32
B) 1/16
C) 9/10
D) 15/16
E) 31/32
At the end of each day, the tree has 1212 it's remaining leaves.   If initially the tree has x leaves.   After day 1: 1/2x   After day 2: 1/2x∗1/2=1/^2 x and so on ....   After day 5: 1/2^5x=1/32x   So leaves lost = Initial amount of leaves - Leaves remaining = x−1/32x=31/32x   Answer:31/32
<result>E</result>
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 5 days ?