The next term in the geometric sequence is 6.5.
What is a geometric sequence and how to find its nth terms?
Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
a, ar, ar^2, ar^3, ...
Thus, the nth term of such sequence would be T_n = ar^{n-1}
Given;
104, -52, 26, -13, ...
Common difference
r = -52 / 104 = -1/2
First term = 104
n = 5
then,
[tex]T_n = ar^{n-1} \\\\T_5 = (104)0.5^{5-1} \\\\T_5 = 6.5[/tex]
Hence, The next term in the sequence is 6.5.
Learn more about geometric sequence here:
https://brainly.com/question/2735005
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