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:
Yes, they are equivalent.
Step-by-step explanation:
9 / 3 = 3
24 / 3 = 8
3:8 is just the simplified version of 9:24. This is due to 9:24 being divided by three, becoming 3:8.
Answer:
31/2 pounds of ham
Step-by-step explanation:
times the denominator by the mixed number.
Well, 625 is 5 x 5 x 5 x 5 .
So that would be:
(5)⁴
5 x (5)³
(5)² x (5)²
And you could even go the other way if you want to get silly:
(5)⁵ x (5)⁻¹
(5)⁶ x (5)⁻²
.
.
etc.