Find the common ratio for the geometric sequence.
$3,12,48,192,\dots$

• A. $3$
• B. $4$
• C. $6$
• D. $9$

Answer: (B)

Verified step by step guidance

1. Identify the terms of the geometric sequence given: 3, 12, 48, 192, ...
2. Recall that the common ratio \( r \) in a geometric sequence is found by dividing any term by the previous term.
3. Calculate the ratio between the second term and the first term: \( r = \frac{12}{3} \).
4. To confirm the common ratio, check the ratio between the third term and the second term: \( r = \frac{48}{12} \).
5. If both ratios are equal, that value is the common ratio \( r \) of the geometric sequence.