Answer:
The answer is 1
Step-by-step explanation:
Since the sequence is a geometric sequence
For an nth term in a geometric sequence
[tex]A(n) = a ({r})^{n - 1} [/tex]
where n is the number of terms
a is the first term
r is the common ratio
From the question
a = 1/4
r = - 2
Since we are finding the third term
n = 3
So the third term of the sequence is
[tex]A(3) = \frac{1}{4} ({ - 2})^{3 - 1} [/tex]
[tex]A(3) = \frac{1}{4}( { - 2})^{2} [/tex]
[tex]A(3) = \frac{1}{4} \times 4[/tex]
We have the final answer as
A(3) = 1
Hope this helps you
