PLEASE ANSWER Answer Choices: 1# 28.26 2# 15.7 3# 12.56 4# 14.13
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Consider we need to find f(n).
Given:
Achilles ordered a pizza with 16 slices.
Every hour, he ate half of the remaining slices.
To find:
The function f(n) that is the number of slices Achilles ate in the hour since he got home.
Solution:
Initial number of slices = 16
Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:
8, 4, 2, 1, ...
It is a geometric sequence with first term 8 and common ratio .
The explicit formula for a geometric sequence is:
Where, a is the first term and r is the common ratio.
Substituting , we get
Therefore, the function f(n) that is the number of slices Achilles ate in the hour since he got home is .