Question:
Consider the sequence of numbers: 
Which statement is a description of the sequence?
(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.
(B) The sequence is recursive and can be represented by the function
f(n + 1) = f(n) + 3/8 .
(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .
(D) The sequence is arithmetic and can be represented by the function
f(n + 1) = f(n)3/8.
Answer:
Option B:
The sequence is recursive and can be represented by the function

Explanation:
A sequence of numbers are

Let us first change mixed fraction into improper fraction.

To find the pattern of the sequence.
To find the common difference between the sequence of numbers.




Therefore, the common difference of the sequence is 3.
That means each term is obtained by adding
to the previous term.
Hence, the sequence is recursive and can be represented by the function
Answer: $5
Step-by-step explanation: This can be represented by the equation
40 + 12T = 25 + 15T
We just solve for T.
Subtract 12T from both sides
40 = 25 + 3T Subtract 25
15 = 3T Divide by 3
5 = T
You use the FOIL method, and how you do this is -
(x - 7) (x + 8)
Multiply the first x by both numbers in the second factor. Which means, you multiply x by x and 8, the two in (x + 8).
With this, you get -
x^2 + 8x
Then do the same thing with -7.
-7x - 56
Then combine the two.
x^2 + 8x - 7x - 56
Combine like terms.
x^2 + x - 56
So now, 7 x 8 is 56
And -7 + 8 would be 1. And that is the value of “x” which is b in the form a^2x + bx + c.
Now with this, you take those two numbers and make the factors =
(x + 8) (x - 7)
Then you set these equal to 0.
x + 8 = 0
Subtract the 8 from both sides.
x = -8
————
x - 7 = 0
Add the 7 on both sides.
x = 7
Answer: A
Your answer would be (x,y)=(2,-2)