Answer:
an=a1⋅rn−1
=an=3⋅4n−1
Explanation:
3, 12, 48, 192,
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words,
an=a1⋅rn−1
Geometric Sequence:
r=4
This is the form of a geometric sequence.
an=a1rn−1
Substitute in the values of a1=3 and r=4.
an=(3)⋅(4)n−1
Remove parentheses.an=3⋅4n−1