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Home » You Won’t Believe What Happens When You End All J Words Forever! - Abbey Badges

You Won’t Believe What Happens When You End All J Words Forever! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Increasing \( x \) by 25% gives \( x + 0.25x = 1.25x \).

📌 Given \( 1.25x = 125 \).

📌 Solving for \( x \): \( x = \frac{125}{1.25} = 100 \).

📌 If the sum of the first \( n \) natural numbers equals 55, what is \( n \)?

📌 The sum of the first \( n \) natural numbers is \( \frac{n(n+1)}{2} \).

📌 Setting this equal to 55: \( \frac{n(n+1)}{2} = 55 \).

📌 Multiplying by 2: \( n(n+1) = 110 \).

📌 Solving \( n^2 + n - 110 = 0 \) using the quadratic formula, \( n = \frac{-1 \pm \sqrt{1 + 440}}{2} = \frac{-1 \pm 21}{2} \).

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