What is the sum of the infinite geometric series S = 3/4 + 3/16 + 3/64 + 3/256 + ...?
Answer and explanation
Correct answer: C. 1
- Step 1: Identify the first term: a = 3/4.
- Step 2: Common ratio: r = (3/16) / (3/4) = 1/4 < 1.
- Step 3: Sum formula: S = a / (1 - r) = (3/4) / (1 - 1/4) = (3/4) / (3/4) = 1.
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