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

Answer: The formula is to multiply by 4

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