What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?
A. an = 8 − 5(n − 1); all integers where n ≥ 1
B. an = 8 − 5(n − 1); all integers where n ≥ 0
C. an = 8 − 3(n − 1); all integers where n ≥ 1
D. an = 8 − 3(n − 1); all integers where n ≥ 0

The correct answer is:

C. ; all integers where n ≥ 1.

Step-by-step explanation:

In general, this is the standard explicit equation of an arithmetic sequence whose first term is and common difference (It is the difference between the terms) is .

If our arithmetic sequence has the first term 8 and second 5, thus the difference is -3.

The standard explicit equation is .

The domain in arithmetic sequence is always all integers where . There's no such thing as the negative fifth term or the 0.4th term of a sequence.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4