Answer:
2916.
Step-by-step explanation:
Notice in the sequence that a(1) = 4, n = 7, and the common ratio, r, is 3.
We substitute these values into the formula:
[tex]a(n) = a(1) {r}^{n - 1} \\ a(7) = (4) {3}^{7 - 1} [/tex]
Evaluate the power:
[tex]a(7) = 4(729)[/tex]
[tex]a(7) = 2916[/tex]
Therefore, the seventh term in the sequence is 2916.
