Find the common ratio for the following sequence. 1/2, -1/4, 1/8, -1/16, - 2 - 2

The common ratio for the given geometric sequence is -1/2.

Step-by-step explanation:

The common ratio in a geometric sequence is simply the number that multiplies one term to arrive at the next term. From the sequence given, we can let the common ratio be x and determine its value using any of the following set of equations;

1/2 * x = -1/4

-1/4 * x = 1/8

1/8 * x = -1/16

using the first equation;

1/2 * x = -1/4

we divide both sides by 1/2 to solve for x.

x = (-1/4)/(1/2)

x = -1/4 * 2

x = -1/2

Thus, the common ratio for the given geometric sequence is -1/2.  

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