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Home » Solve: \( 2x = 97 \), so \( x = 48.5 \). - AMAZONAWS

Solve: \( 2x = 97 \), so \( x = 48.5 \). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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So the largest integer $k$ is $14$.
Thus, there are $14$ such numbers.
Check: $n_{14} = 7(14) - 4 = 98 - 4 = 94 \leq 100$, and $n_{15} = 7(15...
So only $14$ terms.
Therefore, the number is $oxed{14}$.
Question: What is the remainder when the sum $1^3 + 2^3 + 3^3 + \dots...
Solution: Use the formula for the sum of cubes:
\left(\sum_{k=1}^{n} k^3
ight) = \left(rac{n(n+1)}{2}
For $n = 10$:

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