Answer:
Step-by-step explanation:
<u>Geometric Sequences</u>
The geometric sequence is given as:
Where n is the number of the term, n≥1, and r is the common ratio.
The sum of n terms of the geometric sequence is given by:
We are given: S3=252, a1=192, thus substuting:
Dividing by 12:
Recall that:
Substituting:
Simplifying:
Rearranging:
16r^2+16r-5=0
Rewriting:
Factoring:
Solving:
Both solutions are valid
Use the slope equation:
Plug in the points (2, 15) and (0, -1).
⇒
= 8
The slope of the line is 8.
This is an arithmetic the common difference is 11.
so 19-11 is 8
8-11 is 3 etc...
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ANSWER
The vertex of the graph of
is
EXPLANATION
The vertex form of a parabola is given by
where
is the vertex of the parabola.
The function given to us is
This is already in the vertex form.
When we compare this to the general vertex form, we have,
and
Therefore the vertex of the parabola is
Hence the correct answer is option A.
