Analyze the Sequence: Finding the Pattern in 768, 192, 48, 12, 3

Is there a rule to the following sequence? If so, then what is it?

768 , 192 , 48 , 12 , 3

Let's analyze the sequence: $768, 192, 48, 12, 3$.

First, observe the relationship between consecutive terms by dividing one term by the previous term:

• $\frac{192}{768} = \frac{1}{4}$
• $\frac{48}{192} = \frac{1}{4}$
• $\frac{12}{48} = \frac{1}{4}$
• $\frac{3}{12} = \frac{1}{4}$

Each division yields the same factor: $\frac{1}{4}$.

This indicates a consistent operation of dividing by $4$ between the terms. Thus, the rule in the sequence is to divide the current term by $4$ to obtain the next term.

Therefore, this sequence follows the rule of dividing each number by $4$ to get the next number.

Thus, the correct choice that corresponds to this pattern is: $\text{Yes, multiply by 4.}$