Answer:
4,374
Explanation:
Given the sequence: 2, 6, 18, ...
If we study the pattern we observe that:
[tex]\begin{gathered} \frac{6}{2}=3 \\ \frac{18}{6}=3 \end{gathered}[/tex]This is a geometric sequence with:
• The first term, a=2
,• Common Ratio, r=3
The nth term of a geometric sequence is obtained using the formula:
[tex]U_n=ar^{n-1}[/tex]Therefore, the 8th term will be:
[tex]\begin{gathered} U_8=2\times3^{8-1} \\ =2\times3^7 \\ =4374 \end{gathered}[/tex]The 8th term of the sequence is 4,374.
