1.2, 3, 7.5, 18.75, ... which formula can be used to describe the sequence? o (f(x)=1.2(2.5)^{x - 1}) o…

1.2, 3, 7.5, 18.75, ... which formula can be used to describe the sequence? o (f(x)=1.2(2.5)^{x - 1}) o (f(x)=2.5(1.2)^{x - 1}) o (f(x)=1.2(2.5)^{x}) o (f(x)=2.5(1.2)^{x})

1.2, 3, 7.5, 18.75, ... which formula can be used to describe the sequence? o (f(x)=1.2(2.5)^{x - 1}) o (f(x)=2.5(1.2)^{x - 1}) o (f(x)=1.2(2.5)^{x}) o (f(x)=2.5(1.2)^{x})

Answer

Explanation:

Step1: Identify the first - term and common ratio

The first - term $a_1$ of the sequence is $1.2$. To find the common ratio $r$, divide the second term by the first term: $r=\frac{3}{1.2}=2.5$.

Step2: Recall the formula for a geometric sequence

The general formula for a geometric sequence is $f(x)=a_1r^{x - 1}$, where $a_1$ is the first term and $r$ is the common ratio.

Step3: Substitute values into the formula

Substituting $a_1 = 1.2$ and $r = 2.5$ into the formula, we get $f(x)=1.2(2.5)^{x - 1}$.

Answer:

$f(x)=1.2(2.5)^{x - 1}$