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Can you please determine the indicated term in the given geometric sequence?

A7: {4,12,36,...}​


Sagot :

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.