Is the explicit formula for The following Sequence 3,12,48,192

an=a1⋅rn−1

=an=3⋅4n−1

Step-by-step 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