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Home » Batman Reimagined: LEGO Games That Will Change How You Play Forever! - Baxtercollege

Batman Reimagined: LEGO Games That Will Change How You Play Forever! - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Thus, the remainder when \( I(10) \) is divided by 7 is \( oxed{1} \).

📌 Question: A science communicator is creating a visual demonstration showing the sum of the cubes of the first \( n \) positive integers. If \( n = 12 \), what is the remainder when this sum is divided by 13?

📌 Solution: The sum of the first \( n \) cubes is given by the formula:

📌 \left( rac{n(n+1)}{2}

📌 For \( n = 12 \), compute:

📌 \left( rac{12 \cdot 13}{2}

📌 ight)^2 = (78)^2 = 6084

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