First we need to find what kind of sequence we have. To do that we are going to test if the sequence as a difference
, in which case it will be an arithmetic sequence, or a ratio
, in which case it will be geometric sequence.
The formula to find
is
where
is the current term in the sequence
is the previous term in the sequence
The formula to find
is
where
is the current term in the sequence
is the previous term in the sequence
- For
and
- For
and
:
Since
is equal in both procedures whereas
is not, we can conclude that our sequence is an arithmetic sequence.
Now we are going to use the explicit formula of an arithmetic sequence
where
is the nth term
is the first term
is the position of the term in the sequence
is the difference
We know that
and
, so lets replace those values in our formula:
We can conclude that the correct answer is <span>
D) an = 3n - 5</span>
The ratio of 4 to 8 simplifies to 1:2. X will therefore be 3/2, as 3/2:3 simplifies to 1/2 (3 = 6/2).
1) the main formula of circle equation is (x - a)² + (y – b)²= R², (a, b) is the center and R is the radius. So we replace easily (a, b) by (–2, 3), and R=5 for finding the answer, it is (x +2 )² + (y – 3)²= 5²= 25
2) if a circle (x - a)² + (y – b)²= R² , ((a, b) is the center) passes with A(u, v), so we can write the equation as (u- a)² + (v – b)²= R², so we have
(2 + 1)² + (-2 -2)² = R², R²=9+16=25, which implies R=5, and the diameter is given by D=2*R=10, so the answer is The diameter is 10.
3) firstly, D=AB, let's calculate the length of AB,
AB= sqrt[(5+1)^2+(4+4)^2]=sqrt[36+64]=sqrt[100], so D=AB=10, but we know that D=R*2, so R=10/2=5, the equation of the circle must be as follow (x - a)² + (y – b)²= R², after changing the value of R, the equation is
(x – 2)² + y² = 25
Answer:
C
Step-by-step explanation:
So you should be looking for the right function.
Remember that any number to the power of 0 is by definition 1.
3 * 1 = 3
In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.
So if you substitute x= 0 the result should be 3.
3 * 1 = 3
The two functions that comply with that, are the ones in answers B or C.
In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.
The only function that complies with that is in answer C.
idk if you seen this but I try this