The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
<h3>How to determine the explicit formula?</h3>
The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
Read more about geometric sequence at:
brainly.com/question/24643676
