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:
Step-by-step explanation:
Here, we have to find the sum of 2 fractions:
1st fraction: 
2nd fraction: 
Considering the denominator of 1st fraction:
Using factorization method:
can be written as 
.
Taking <em>5 common</em> from 
and <em>y common</em> from 
:
Now taking 
common:
can be written as 
Now, calculating the sum:
Taking <em>LCM</em> and solving:
Hence, answer is .
Answer:
25.13
Step-by-step explanation:
C = d(
)
d = r(2) in this case 4(2) = 8 = d
so 8() = C
C ≈ 25.13
