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!
The arc length, radius and the included angle are related as
where
is in radians.
The radius
is given by

Correct choice is (B).
Answer:
14 1/2
Step-by-step explanation:
Rewriting our equation with parts separated
=7 + 7/8 + 6 + 5/8
Solving the whole number parts
7 + 6=13
Solving the fraction parts
7/8 + 5/8= 12/8
Reducing the fraction part, 12/8,
12/8=3/2
Simplifying the fraction part, 3/2,
3/2=1 1/2
Combining the whole and fraction parts
13 + 1 + 12=14 1/2
Answer: x = −18
Step-by-step explanation:
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 22 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 22 + -4
-1x = 22 + -4
Combine like terms: 22 + -4 = 18
-1x = 18
Divide each side by '-1'.
x = -18
Simplifying
x = -18
Answer:
2 1/3
Step-by-step explanation:
1 3/4 is equivalent to 7/4
1 1/3 is equivalent to 4/3
7/ 4 x 4/3
reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )
now you're left with 7 x 1/3 = 7/3
7/3 = 2 1/3