Which of the following is an arithmetic sequence? A.-2, 4, -6, 8, ... B.2, 4, 8, 16, ... C.-8, -6, -4, -2, ...
castortr0y [4]
Answer:
C. -8, -6, -4, -2, ...
Step-by-step explanation:
An arithmetic sequence increases by the same amount every time through addition or subtraction. There is a common difference.
A: -2, 4, -6, 8, ... If there were a common difference, the numbers would not switch between being positive and back to negative. The numbers would either keep going positive or keep going negative.
B: 2, 4, 8, 16, ... The common difference between 16 and 8 is 16 - 8 = 8. The difference between 8 and 4 is 8 - 4 = 4. Since the difference changes between the numbers, this is not an arithmetic sequence.
C. -8, -6, -4, -2, ... The common difference between -2 and -4 is -2 - (-4) = -2 + 4 = 2. The difference between -4 and -6 is -4 - (-6) = -4 + 6 = 2. The difference between -6 and -8 is -6 - (-8) = -6 + 8 = 2. Since the common difference is always two, this is an arithmetic sequence.
Hope this helps!
Answer:
Discriminant = 20
Step-by-step explanation:
We use formula to find the discriminant.
Discriminant (D) = b^2 - 4ac
The given equation is x^2 - 6x + 4 = 0.
Here the value of a = 1, b = -6 and c = 4.
Plug in the given values in the formula, we get
Discriminant (D) = (-6)^2 - 4*1*4
= 36 - 16
Discriminant = 20
Thank you.
Answer:
5 yd³
Step-by-step explanation:
2 in = 1/6 ft
15 ft × 18 ft × 1/6 ft = 45 ft³
1 ft³ = 9 yd³
45 ft³/9 = 5 yd³
Answer:
32
Step-by-step explanation:
