The given series is

Where the first term, a , is 3.
And the difference is constant, that is

So the constant difference, d is 3.
Since the difference is constant, so the given series is arthmetic.
And for explicit rule, we use the formula of nth term, which is

Substituting the values of a and d, we will get

Recursive rule is used to tell us the relationship between previous and current term. And the required rule is

The scale factor is 2 or 200%
ANSWER
The prime factorization of 36 is

EXPLANATION
We want to find the prime factorization of 36.
The prime numbers that are factors of 36 are

So we find the number of times these two prime factors will multiply to get 36.
Thus,

Thus gives
Answer:
Width= 85
Length= 485
Step-by-step explanation:
The width will be x, and the length will be x + 400, since it is 400 more than the width.
We know that the perimeter of a rectangle can be found using the equation 2w + 2l.
We plug in the values we have found.
2(x) + 2(x+400) = 1140
4x + 800 = 1140
4x = 340
x = 85
Now we know the width, since it is simply x. To find length all we have to do is add 400.
400 + 85 = 485