What is the common ratio in the geometric sequence 3, 6, 12, 24?

What is the common ratio in the geometric sequence 3, 6, 12, 24?

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (B)

In a geometric sequence, each term after the first is found by multiplying the previous term by a constant known as the common ratio. To determine the common ratio in the given sequence 3, 6, 12, 24, you can divide any term by its preceding term. Taking the first two terms, divide 6 by 3 which gives you 2. Next, divide 12 by 6 and you get 2 again. Finally, dividing 24 by 12 also results in 2. This consistent result confirms that the common ratio throughout the sequence is indeed 2. Therefore, the common ratio in this geometric sequence is correctly identified as 2.

In a geometric sequence, each term after the first is found by multiplying the previous term by a constant known as the common ratio. To determine the common ratio in the given sequence 3, 6, 12, 24, you can divide any term by its preceding term.

Taking the first two terms, divide 6 by 3 which gives you 2. Next, divide 12 by 6 and you get 2 again. Finally, dividing 24 by 12 also results in 2. This consistent result confirms that the common ratio throughout the sequence is indeed 2. Therefore, the common ratio in this geometric sequence is correctly identified as 2.