The solution is indeed accurate.

(We know this from a=1/9 and r=3)
Simplifying this, we get:

Since we're finding the first term that exceeds 1000, let's set it equal to 1000.

Multiplying both sides by 27


n≈9.2
We have to round n up, since if n=9, the value would be <1000.
Therefore n=10. Substituting n=10,

=2187
Therefore the first term that exceeds 1000 is 2187, and it is the 10th term
Answer:
The quadratic function whose graph contains these points is 
Step-by-step explanation:
We know that a quadratic function is a function of the form
. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.



We can solve these system of equations by substitution
- Substitute


- Isolate a for the first equation

- Substitute
into the second equation



The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is

As you can corroborate with the graph of this function.
Answer:
5.218
Step-by-step explanation:
5 or more, you add one. Four or less, you change it to zero.