Question

Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?

Answer 1

Answer:

$a(n) = 1 \times {3}^{n - 1}$

Step-by-step explanation:

• We started at 1
• And it seems that index after index it multiplies by 3
• The formula for the geometric sequence defined implicitly is a(n) =a(1)r^(n-1)

$a(n) = a(1) {r}^{n - 1} \\ a(n) = 1 \times {3}^{n - 1}$