Given:
The geometric sequence 3,6,12,24.
Required:
Find the 6th term of the geometric sequence.
Explanation:
The given sequence is 3,6,12,24.
The nth term of the sequence is given by the formula:
[tex]a_n=ar^{n-1}[/tex]Where a = first term and r = common ratio
From the given sequence
a = 3, r = 6/3 = 2
Then 6th term is:
[tex]\begin{gathered} a_6=3(2)^{6-1} \\ a_6=3(2)^5 \\ a_6=3(32) \\ a_6=96 \end{gathered}[/tex]Final answer:
The first option is the correct answer.
