Question

Select the correct rule for this Geometric Sequence:

3, 12, 48, 192, ...

Question 5 options:

A(n)=12−3n−1

A(n)=3⋅12n−1

A(n)=3⋅4n−1

A(n)=4⋅3n−1

A(n)=3+12n−1

Answer 1

Answer:

see explanation

Step-by-step explanation:

given the geometric sequence then the n th term rule is

$a_{n}$ = $a_{1}$ . $r^{n-1}$

where r is the common ratio and $a_{1}$ the first term

here r = $\frac{192}{48}$ = $\frac{48}{12}$ = 4 and $a_{1}$ = 3, hence

$a_{n}$ = 3 . $4^{n-1}$ ← third option