Answer:
Third option given
Step-by-step explanation:
On a coordinate plane, a parabola opens to the right with a vertex at (0, 0).
use the following x values to plot the associated y values on the x-y plane:
If x = 0, then
If x = 1, then
If x = 4, then
If x = 9, then
Join the points and you will find a branch of a parabola opening to the right.
The first term is 612.
The common ratio is 1.08 and
The recursive rule is
<u>Step-by-step explanation:</u>
the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.
<u>The first term :</u>
In geometric sequence, the first term is given as .
⇒
Now, the geometric sequence follows as 612, 661, ........
<u>The common ratio (r) :</u>
It is the ratio between two consecutive numbers in the sequence.
Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.
⇒ r = 661 divided by 612
⇒ r = 1.08
<u>To find the recursive rule :</u>
A geometric series is of the form a,ar,ar2,ar3,ar4,ar5........
Here, first term and other terms are obtained by multiplying by r.
The recursive rule is of the form
This is called recursive formula for geometric sequence.
We know that r = 1.08 and = 612.
To find the second term , use the recursive rule
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