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Home » This Amazing Magic Ring Crochet Secret Is Taking Crafting World by Storm! - Aurero

This Amazing Magic Ring Crochet Secret Is Taking Crafting World by Storm! - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 We compute $ S = \sum_{k=1}^{9} k^3 \mod 9 $.

📌 Use the formula for the sum of cubes:

📌 For \( n = 9 \):

📌 \sum_{k=1}^{9} k^3 = \left( \frac{9 \cdot 10}{2} \right)^2 = (45)^2 = 2025.

📌 Now compute \( 2025 \mod 9 \). A quick way: sum the digits of 2025:

📌 + 0 + 2 + 5 = 9 \Rightarrow 2025 \equiv 0 \mod 9.

📌 Alternatively, note that \( 45 \equiv 0 \mod 9 \), so \( 45^2 \equiv 0 \mod 9 \).

📌 Thus, the remainder is:

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