Answer:
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.
Answer:
Common ratio is -1/2
Step-by-step explanation:
Common ratio is the amount between each number in a geometric sequence.
It is called the common ratio because it is the same to each number.
Common ratio is the ratio between two successive numbers in a geometric sequence.
Common is a gotten by either division or multiplication.
Therefore in the case above
1/2 x -1/2 = -1/4 ......
-1/4 x -1/2 = 1/8 ......
1/8 x -1/2 = -1/16 ....etc
Therefore our common ratio is -1/2
