What is the sum of the infinite series 10 + 5/2 + 5/8 + ... in which each term is 1/4 of the previous one?
Answer and explanation
Correct answer: A.
- Step 1: The ratio is 1/4, which is less than 1 in absolute value, so the sum exists.
- Step 2: S = a/(1 - q) = 10/(1 - 1/4) = 40/3.
Answer
.
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