Answer:
[tex]B\text{ : 786,432}[/tex]
Explanation:
Here, we want to find the 10th term of the given geometric sequence
Mathematically, the nth term of a geometric sequence is calculated by:
[tex]a_n\text{ = ar}^{n-1}[/tex]
where:
a is the first term which is 3
r is the common ratio which is the division of the preceding term by the succeeding term. We have that as:
[tex]\frac{12}{3}\text{ = }\frac{48}{12}\text{ = 4}[/tex]
n is the term number which is 10
Substituting the values, we have it that:
[tex]\begin{gathered} a_{10}\text{ = 3 }\times4^{10-1} \\ a_{10}=\text{ 786,432} \end{gathered}[/tex]
