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Find an explicit formula for the geometric sequence -25, -50, -100,- 200,
Note: the first term should be d(1).
d(n)
-25*2^n-1

Hello!

If we were to take the absolute value of any number, the absolute value would be the distance it is away from zero.

For example, if we were to take the absolute value of -5, which is |-5|, we know that it is 5 units away from zero, so the absolute value of -5 is 5.

Let's go through the given choices.

A. 6, 3, 3, 6

We know this is incorrect because 6 is greater than 3, and we want it ordered from least to greatest.

B. -8, |-8|, 4, 5

The absolute value of -8 is 8, so the group would now be: -8, 8, 4, 5.

This group is also incorrect because 8 is greater than 4.

C. |-15|, -10, 5, 10

Taking the absolute value of -15, you get: 15, -10, 5, 10.

This is incorrect because 15 is greater than -10.

D. -5, -2, |-2|, 7

The absolute value of -2 is 2, the group is now: -5, -2, 2, 7

This is correct because -5 is less than -2, -2 is less and 2, and 2 is less than 7.

Therefore, your final answer is choice/group D.