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Home » The arithmetic mean is \boxed1.0 liters. - SUpost

The arithmetic mean is \boxed1.0 liters. - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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Therefore, the largest possible value is $oxed{1012}$.
Question: How many of the 100 smallest positive integers are congruent...
Solution: We seek the number of positive integers $n \leq 100$ such th...
Such numbers form an arithmetic sequence: $3, 10, 17, \dots$, with fir...
The general term is:
n_k = 3 + (k-1)\cdot 7 = 7k - 4.
We require $n_k \leq 100$:
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.

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