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Home » This Song Is Locking You In—Can YOU Find It Before It Disappears?! - inBeat

This Song Is Locking You In—Can YOU Find It Before It Disappears?! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 An epidemiologist is studying the spread of a disease and models it using a sequence of integers representing daily new cases. If the sequence follows the pattern where each term is the sum of the two preceding terms (like Fibonacci), starting with 1 and 1, what is the remainder when the 10th term is divided by 7?

📌 The sequence described is similar to the Fibonacci sequence, starting with \( F_1 = 1 \) and \( F_2 = 1 \). The terms are calculated as follows:

📌 F_3 & = F_1 + F_2 = 1 + 1 = 2, \\

📌 F_4 & = F_2 + F_3 = 1 + 2 = 3, \\

📌 F_5 & = F_3 + F_4 = 2 + 3 = 5, \\

📌 F_6 & = F_4 + F_5 = 3 + 5 = 8, \\

📌 F_7 & = F_5 + F_6 = 5 + 8 = 13, \\

📌 F_8 & = F_6 + F_7 = 8 + 13 = 21, \\

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