If the sum of an infinite GP is 10 and the common ratio is 1/3, what is the first term?
Practice Questions
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Q1
If the sum of an infinite GP is 10 and the common ratio is 1/3, what is the first term?
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The sum of an infinite GP is given by S = a / (1 - r). Here, S = 10 and r = 1/3. Thus, 10 = a / (1 - 1/3) = a / (2/3) => a = 10 * (2/3) = 20.
Questions & Step-by-step Solutions
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Q: If the sum of an infinite GP is 10 and the common ratio is 1/3, what is the first term?
Solution: The sum of an infinite GP is given by S = a / (1 - r). Here, S = 10 and r = 1/3. Thus, 10 = a / (1 - 1/3) = a / (2/3) => a = 10 * (2/3) = 20.
