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Home » You’ll Underwear ‘Have a Great Evening’ in These 7 Simple Ways! - Appcentric

You’ll Underwear ‘Have a Great Evening’ in These 7 Simple Ways! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \equiv 1 \pmod{6}

📌 Now, add these results:

📌 + 5 + 1 + 3 = 12

📌 Next, find the remainder of 12 when divided by 6:

📌 \equiv 0 \pmod{6}

📌 Thus, the remainder is \(\boxed{0}\).

📌 Question:** A zoologist studying animal migration patterns observes that certain species return every few years, forming a sequence similar to an arithmetic progression. How many of the first 50 positive integers are congruent to 3 (mod 7)?

📌 We seek integers \( n \) such that \( n \equiv 3 \pmod{7} \). The sequence of such integers is \( 3, 10, 17, \ldots \).

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