An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statement
s about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.
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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 .