You can use the formula for getting the xth term of a geometric sequence for the graphed points.
The function that represents the graphed geometric sequence is given by
Option A:
There are three parameters which differentiate between which geometric sequence we're taking about.
- The first parameter is the initial value of the sequence.
- The second parameter is the quantity by which we multiply previous term to get the next term.
- The third parameter is the length of the sequence. It can be finite or infinite.
Suppose the initial term of a geometric sequence is and the term by which we multiply the previous term to get the next term is
Then the sequence would look like
(till the terms to which it is defined)
Thus, the xth term of such sequence would be
The points plotted in the graph are
(1,80), (2, 20), (3, 5)
The x coordinate shows the position of the term and the y coordinate shows the value of that position's term in the sequence.
So we have the sequence as
Thus, a = 80
and we have
Thus, the multiplication factor for the given sequence is r = 1/4
Thus, by using the xth term formula, we have:
Thus,
The function that represents the graphed geometric sequence is given by
Option A:
Learn more about geometric sequence here:
