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What is true about the geometric series 1 +r + r2 + ... (r > 0)?
  • a)
    It diverges if 0 < r < 1 and converges if r ≥ 1
  • b)
    It converges if 0 < r < 1 and diverges if r ≥ I
  • c)
    It does not converge
  • d)
    It does not diverge
Correct answer is option 'C'. Can you explain this answer?
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What is true about the geometric series 1 +r + r2 + ... (r > 0)?a)I...
The geometric series 1, r, r^2, ... converges if the absolute value of r is less than 1. In this case, the sum of the series can be calculated using the formula S = a / (1 - r), where a is the first term of the series. If the absolute value of r is greater than or equal to 1, the series diverges and does not have a finite sum.
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What is true about the geometric series 1 +r + r2 + ... (r > 0)?a)I...
B will be answer
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What is true about the geometric series 1 +r + r2 + ... (r > 0)?a)Itdiverges if 0 < r < 1 and converges if r ≥ 1b)It converges if 0 < r < 1 and diverges if r ≥ Ic)It does not converged)It does not divergeCorrect answer is option 'C'. Can you explain this answer?
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