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Home » We begin by factoring both the numerator and the denominator: - Abbey Badges

We begin by factoring both the numerator and the denominator: - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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🔥 Popular Posts

The sum \( S \) of an infinite geometric series is \( S = rac{a}{1-r}...
Given \( S = 5 \) and \( a = 2 \), we have \( rac{2}{1-r} = 5 \).
Solving, \( 2 = 5(1-r) \), \( 2 = 5 - 5r \).
Rearranging, \( 5r = 3 \), so \( r = rac{3}{5} \).
#### \(rac{3}{5}\)1.
Calculate the sum of the first 15 positive even numbers.
The first 15 positive even numbers are: 2, 4, 6, 8, 10, 12, 14, 16, 18...
Using the formula for the sum of the first \( n \) even numbers, \( S...
\[ S = 15 imes (15 + 1) = 15 imes 16 = 240 \]
A rectangle has a length of \( 3x + 2 \) and a width of \( x - 1 \). I...

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