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Home » Unlock Fencing Mastery: The Surprising Way to Build Epic Fences in Minecraft! - Crosslake

Unlock Fencing Mastery: The Surprising Way to Build Epic Fences in Minecraft! - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \( I(6) = I(5) + I(4) + I(3) = 6 + 0 + 4 = 10 \equiv 3 \mod 7 \)

📌 \( I(7) = I(6) + I(5) + I(4) = 3 + 6 + 0 = 9 \equiv 2 \mod 7 \)

📌 \( I(8) = I(7) + I(6) + I(5) = 2 + 3 + 6 = 11 \equiv 4 \mod 7 \)

📌 \( I(9) = I(8) + I(7) + I(6) = 4 + 2 + 3 = 9 \equiv 2 \mod 7 \)

📌 \( I(10) = I(9) + I(8) + I(7) = 2 + 4 + 2 = 8 \equiv 1 \mod 7 \)

📌 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:

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