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Then, choose 2 source types from the 3 available: - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 For $n = 10$:

📌 \sum_{k=1}^{10} k^3 = \left(rac{10 \cdot 11}{2}

📌 ight)^2 = (55)^2 = 3025.

📌 Now compute $3025 \mod 9$. Use the digit sum method:

📌 Digit sum of $3025$: $3 + 0 + 2 + 5 = 10$, then $1 + 0 = 1$, so $3025 \equiv 1 \pmod{9}$.

📌 Alternatively, divide: $3025 \div 9 = 336 imes 9 = 3024$, remainder $1$.

📌 Thus, the remainder is $1$.

📌 Therefore, the answer is $oxed{1}$.

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