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Home » First year decrease: \(100 \times 0.20 = 20\) - High Altitude Science

First year decrease: \(100 \times 0.20 = 20\) - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Step 2: Check modulo 5
Similarly, test residues modulo 5:
\( n \equiv 0 \pmod{5} \Rightarrow n^2 \equiv 0 \pmod{5} \),
\( n \equiv 1 \pmod{5} \Rightarrow n^2 \equiv 1 \pmod{5} \),
\( n \equiv 2 \pmod{5} \Rightarrow n^2 \equiv 4 \pmod{5} \),
\( n \equiv 3 \pmod{5} \Rightarrow n^2 \equiv 9 \equiv 4 \pmod{5} \),
\( n \equiv 4 \pmod{5} \Rightarrow n^2 \equiv 16 \equiv 1 \pmod{5} \).
So, \( n^2 \equiv 1 \pmod{5} \) when \( n \equiv 1 \) or \( 4 \pmod{5}...
Step 3: Combine using Chinese Remainder Theorem
We seek the smallest positive \( n \) such that:

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