Which of the following is an arithmetic sequence? A.-2, 4, -6, 8, ... B.2, 4, 8, 16, ... C.-8, -6, -4, -2, ...

Mathematics

1 answer:

castortr0y [4]3 years ago

3 0

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.

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SOVA2 [1]

The kind of transformation the quadrilateral underwent is 180° rotation about the origin and the new vertex of Q is (4,5).

<h3>What is transformation of plane shapes?</h3>

Transformation is the change in the coordinates of the vertices that make up a plane shape.

This can be done either by translation, reflection or rotation.

Analysis:

since the x and y coordinates of P is the opposite of the coordinates of p' then there is a 180° rotation about the origin.

If vertex Q is (-4, -5), then Q' is the opposite which is (4, 5 )

In conclusion, the transformation is a 180° rotation and the coordinates of Q' are (4, 5).