Find the 14th term of the geometric sequence 2, comma, 6, comma, 18, comma, point, point, .2,6,18,...
To find the 14th term of the geometric sequence, we need to find the common ratio first.
We can find the common ratio by dividing any term by its previous term. Let's divide the second term, 6, by the first term, 2:
$\frac{6}{2}=3$
So the common ratio is 3.
Now we can find the 14th term by multiplying the first term, 2, by the common ratio raised to the power of 13 (since we are looking for the 14th term):
$2\times3^{13}=2\times1594323=3188646$
Therefore, the 14th term of the sequence is 3,188,646.