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Home » Acceleration is defined as the change in velocity divided by the time taken: - Feedz API

Acceleration is defined as the change in velocity divided by the time taken: - Feedz API

📅 May 18, 2026 👤 scraface

May 18, 2026

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7k - 4 \leq 100 \Rightarrow 7k \leq 104 \Rightarrow k \leq rac{104}{7...
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}

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