Find the sum of the first 5 terms of a geometric sequence where the first term (a₁) is 2 and the common ratio (r) is 3.

A 162

B 242

C 121

D 324

✓ Correct Answer: Option B

The sum of a geometric sequence is S_n = a₁(1 - rⁿ) / (1 - r). For n=5, a₁=2, r=3: S₅ = 2(1 - 3⁵) / (1 - 3) = 2(1 - 243) / (-2) = 2(-242) / (-2) = 242.

💡 Why is B) the correct answer?

The correct answer to the question "Find the sum of the first 5 terms of a geometric sequence where the first term (a₁) is 2 and the common ratio (r) is 3." is Option B: 242.

The other options — A) 162, C) 121, D) 324 — are incorrect for this CLEP Exam Prep question. As explained above: The sum of a geometric sequence is S_n = a₁(1 - rⁿ) / (1 - r). For n=5, a₁=2, r=3: S₅ = 2(1 - 3⁵) / (1 - 3) = 2(1 - 243) / (-2) = 2(-242) / (-2) = 242.

📚 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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Find the sum of the first 5 terms of a geometric sequence where the first term (a₁) is 2 and the common ratio (r) is 3.

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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