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Home » Shocking Science Behind ‘Dattebayo’—Experts Can’t Stop Talking! - Silent Sales Machine

Shocking Science Behind ‘Dattebayo’—Experts Can’t Stop Talking! - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Thus, $ r = 3 $ satisfies the condition, and since $ r = 2 $ does not, the smallest integer $ r $ is $ oxed{3} $.

📌 Question: A primatologist observes that the number of vocalizations a primate group makes each hour follows the recurrence $ v_n = 2v_{n-1} - 7 $, with $ v_1 = 10 $. What is the value of $ v_5 $?

📌 We compute the terms step-by-step using the recurrence $ v_n = 2v_{n-1} - 7 $, $ v_1 = 10 $:

📌 $ v_2 = 2(10) - 7 = 20 - 7 = 13 $

📌 $ v_3 = 2(13) - 7 = 26 - 7 = 19 $

📌 $ v_4 = 2(19) - 7 = 38 - 7 = 31 $

📌 $ v_5 = 2(31) - 7 = 62 - 7 = 55 $

📌 Thus, the number of vocalizations in the fifth hour is $ oxed{55} $.

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