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📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 and the sequence ACGT corresponds to $ 0123_4 $, what is the base-ten equivalent of the DNA sequence CGTA?

📌 We interpret CGTA using the base-4 digit mapping:

📌 First, observe that the terms form an arithmetic sequence:

📌 First term $ a = 2023 $, common difference $ d = 2 $, number of terms $ n = 8 $.

📌 Lift to mod 25 using Hensels lemma. Let $ n = 5k + 2 $. Then:

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