🎓 CLEP Exam Prep

What is the sum of the infinite geometric series 16 + 8 + 4 + 2 + ...?

A 24
B 32
C 48
D It diverges, so no finite sum.

✓ Correct Answer: Option B

The first term a = 16. The common ratio r = 8/16 = 1/2. Since |r| < 1, the series converges. The sum S = a / (1 - r) = 16 / (1 - 1/2) = 16 / (1/2) = 32.

💡 Why is B) the correct answer?

The correct answer to the question "What is the sum of the infinite geometric series 16 + 8 + 4 + 2 + ...?" is Option B: 32.

The other options — A) 24, C) 48, D) It diverges, so no finite sum. — are incorrect for this CLEP Exam Prep question. As explained above: The first term a = 16. The common ratio r = 8/16 = 1/2. Since |r| < 1, the series converges. The sum S = a / (1 - r) = 16 / (1 - 1/2) = 16 / (1/2) = 32.

📚 About This CLEP Exam Prep Practice Question

This 3-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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