Question

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Answer 1

Answer:

$a_n = 3 ({5})^{n - 1}$

Step-by-step explanation:

The given sequence is 3,15,75,375,...

The first term of this geometric sequence is

$a_1=3$

The common ratio is

$r = \frac{15}{3} = 5$

The explicit formula is given by:

$a_n = a_1 {r}^{n - 1}$

We plug the first term and common ratio into the formula to get:

$a_n = 3 ({5})^{n - 1}$