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Home » From Beginner to Pro in 9 Square Game: Inside the Explosive Secret Success Formula! - Londonproperty

From Beginner to Pro in 9 Square Game: Inside the Explosive Secret Success Formula! - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Therefore, the largest possible value is $oxed{1012}$.

📌 Question: How many of the 100 smallest positive integers are congruent to $3 \pmod{7}$?

📌 Solution: We seek the number of positive integers $n \leq 100$ such that $n \equiv 3 \pmod{7}$.

📌 Such numbers form an arithmetic sequence: $3, 10, 17, \dots$, with first term $a = 3$, common difference $d = 7$.

📌 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} pprox 14.857.

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