9
QuizMultiple Choice

Exponential and Logarithmic Functions: Part Two — Test

Question 9 • Advanced Algebra: Concepts and Connections

What is the sum of the first seven terms of the geometric series? 3 plus 12 plus 48 plus 192 plus dot dot dot

Answer
A
12 comma 288
B
65 comma 535
C
16 comma 383
D
4 comma 372

Explanation

The first term is 3, and each term is 4 times the previous one, so the common ratio is 4. The first seven terms are 3, 12, 48, 192, 768, 3,072, and 12,288; their sum is 16,383. Therefore, the correct choice is A, 16,383.

AI-written and checked against the verified answer.

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