Answer:
To get from one term of this sequence to the next, divide by 6.
So, once we get to three, the next term will be 0.5 because 3/6 = 0.5
Let me know if this helps!
The next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.
Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
It can be given as,
[tex]a_n=ar^{n-1}[/tex]
Here, (a) is the first term of the sequence and (r) is the common ratio.
The sequence given in the problem is,
648, 108, 18, 3, . . . and so on.
The common ratio between the two terns is,
[tex]r=\dfrac{648}{108}=6\\r=\dfrac{108}{18}=6\\r=\dfrac{18}{3}=6\\[/tex]\
Thus, the common ratio of the geometric series is 6.
The first term is 648 and the common ratio is 6. Thus the next or fifth term of the sequence is,
[tex]a_5=(648)(\dfrac{1}{6})^{5-1}\\a_5=(648)(\dfrac{1}{6})^{4}\\a_5=0.5[/tex]
Hence, the next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.
Learn more about the geometric sequence here;
https://brainly.com/question/1509142
