Answer: {2, -2, -6, -10}
Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.
To break it down:
The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:
-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2
Therefore does not follow the definition of an arithmetic sequence.
The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.
Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.
I hope this helped!
Answer:
A: (m + p, n + r)
Step-by-step explanation:

Answer:
x = -6
Step-by-step explanation:
B = 2
F = 6
D = 4
H = 8
x + B = Fx - Dx + H
x + 2 = 6x - 4x + 8
x + 2 = 2x + 8
-x = 6
x = -6
Answer:
(x)^2+(5)^2=(9)^2
Step-by-step explanation:
(a)^2+(b)^2=(c)^2
(x)^2+(5)^2=(9)^2
x^2+25=81
-25 -25
x^2=56
x=28
p.s. this ^2 means squared