Fill in the missing terms for the geometric sequence.
What is the common ratio for this geometric sequence?
, -11, 22, , 88, -176.
Common Ratio:
The common ratio for a geometric sequence is found by dividing any term in the sequence by the term that comes before it.
To find the common ratio for this sequence, we can divide any term by the previous term. Let's take the third and second terms:
Common ratio = (22) / (-11) = -2
So, the common ratio for this geometric sequence is -2.
To find the common ratio for a geometric sequence, we need to find the ratio between consecutive terms. Let's calculate the ratio between the second term (-11) and the first term:
Ratio = (-11) / ( )
To calculate the ratio between the third term (22) and the second term, divide 22 by -11:
Ratio = 22 / (-11)
Similarly, to calculate the ratio between the fifth term (88) and the fourth term, divide 88 by 22:
Ratio = 88 / 22
And to calculate the ratio between the sixth term (-176) and the fifth term, divide -176 by 88:
Ratio = -176 / 88
By examining these ratios, we can determine the common ratio for this geometric sequence.