What is the sum of the infinite series 12 + 4 + 4/3 + ... in which each term is 1/3 of the previous one?
Answer and explanation
Correct answer: D.
- Step 1: The ratio is 1/3, which is less than 1 in absolute value, so the sum exists.
- Step 2: S = a/(1 - q) = 12/(1 - 1/3) = 18.
Answer
.
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