SOLUTION: 1) Lets say that we have a tree. The first day the height of the tree is 1 meter. The second day is 50cm higher. (1.50m). The third day is 25cm higher(1.75m)The fourth day is 12.5

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Question 67569: 1)
Lets say that we have a tree. The first day the height of the tree is 1 meter. The second day is 50cm higher. (1.50m). The third day is 25cm higher(1.75m)The fourth day is 12.5cm higher. The next day is 6.25cm higher, next day is 3.125cm higher and so on. Make a Sigma notation that will show the height of the tree after n days...
2)
The leaves of the tree are:
first day=1
second day=3
third day=7
fourth day=15
fifth day=31
sixth day=63
seventh day=127
day8= 255 leaves and so on......
A sigma notation that will give the number of leaves after n days....
Thank you in advance
Answer by aaaaaaaa(138) (Show Source):
You can put this solution on YOUR website!
For the first problem, we can say we are dividing by powers of two. Therefore, the following is acceptable (although not very pretty)

The second problem is easier as we are just summing the powers of two. Therefore: