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Home » The sum \( S \) of an infinite geometric series with \( |r| < 1 \) is given by: - Veritas Home Health

The sum \( S \) of an infinite geometric series with \( |r| < 1 \) is given by: - Veritas Home Health

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Mar 01, 2026

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\( S_{10} = 5(10 + 27) = 5 \times 37 = 185 \)
Solve for \( x \) in the equation \( 2x^2 - 3x - 5 = 0 \) using the qu...
Here, \( a = 2 \), \( b = -3 \), \( c = -5 \).
Discriminant: \( (-3)^2 - 4 \times 2 \times (-5) = 9 + 40 = 49 \).
\( x = \frac{3 \pm \sqrt{49}}{4} = \frac{3 \pm 7}{4} \).
Solutions: \( x = \frac{10}{4} = 2.5 \) and \( x = \frac{-4}{4} = -1 \...
A circle has a circumference of 31.4 meters. What is the radius of the...
Circumference \( C = 2\pi r \).
\( r = \frac{31.4}{6.28} = 5 \).
If \( \log_b(64) = 3 \), what is \( b \)?

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