a sequence of numbers begins with 12 and progresses geometrically. each number is the previous number…
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
Answer
Explanation:
Step1: Recall geometric - sequence formula
In a geometric sequence (a_n=a_1r^{n - 1}), (r) is the common ratio. If each number is the previous number divided by 2, we can write the relationship between consecutive terms as (a_{n+1}=\frac{a_n}{2}).
Step2: Find the common ratio
The common ratio (r) is given by (\frac{a_{n + 1}}{a_n}). Since (a_{n+1}=\frac{a_n}{2}), then (\frac{a_{n + 1}}{a_n}=\frac{1}{2}).
Answer:
A. (\frac{1}{2})