What is the common ratio of the geometric sequence 2, 4, 8, 16, ... ?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

Prepare for the Praxis Elementary Education Mathematics Test. Engage with flashcards and multiple choice questions, each with hints and explanations. Enhance your chances for exam success!

Multiple Choice

What is the common ratio of the geometric sequence 2, 4, 8, 16, ... ?

Explanation:
In a geometric sequence, you multiply by a constant factor each step—the common ratio. Here, each term is twice the previous one: 4 is 2×4, 8 is 2×4, and 16 is 2×8. So the factor you multiply by every time is 2. You can verify by dividing consecutive terms: 4 ÷ 2 = 2, 8 ÷ 4 = 2, 16 ÷ 8 = 2. The common ratio is 2.

In a geometric sequence, you multiply by a constant factor each step—the common ratio. Here, each term is twice the previous one: 4 is 2×4, 8 is 2×4, and 16 is 2×8. So the factor you multiply by every time is 2. You can verify by dividing consecutive terms: 4 ÷ 2 = 2, 8 ÷ 4 = 2, 16 ÷ 8 = 2. The common ratio is 2.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy