Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio or the common difference. 4, 2, 1, 1/2

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have . If we subtract the third and second terms, we have .

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

If we divide the third and second terms, we have

Finally, if we divide the last two terms we have

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

two data sets with the same median will not have the same varaibility

step-by-step explanation: