Question

a sequence of numbers begins with 12 and progresses geometrically. each number is the previous number divided by 2.

which value can be used as the common ratio in an explicit formula that represents the sequence?

\\(\frac{1}{2}\\)
2
6
12

Explanation:

Identify the sequence progression rule

$$ a_{n} = \frac{a_{n-1}}{2} = a_{n-1} \cdot \frac{1}{2} $$

Determine the common ratio

$$ r = \frac{a_{n}}{a_{n-1}} = \frac{1}{2} $$

Answer:

• (A) \(\frac{1}{2}\) (Correct answer)
• (B) 2
• (C) 6
• (D) 12