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Home » Sum of real roots: \( 4 + 9 = 13 \) - go-checkin.com

Sum of real roots: \( 4 + 9 = 13 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question:** A bioinformatician is analyzing a genomic dataset containing 2^20 sequences. Each day, she processes half of the remaining sequences. How many sequences are left unprocessed after 5 days?

📌 Solution:** Total sequences: \( 2^{20} = 1,048,576 \).

📌 Each day she processes half:

📌 After Day 1: \( 1,048,576 / 2 = 524,288 \) remaining.

📌 After Day 2: \( 524,288 / 2 = 262,144 \).

📌 After Day 3: \( 262,144 / 2 = 131,072 \).

📌 After Day 4: \( 131,072 / 2 = 65,536 \).

📌 After Day 5: \( 65,536 / 2 = 32,768 \).

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