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v(v - 2)(v - 3) = 0. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 F_{10} & = F_8 + F_9 = 21 + 34 = 55.

📌 Now, we find the remainder when \( F_{10} = 55 \) is divided by 7:

📌 \div 7 = 7 \quad \text{remainder} \quad 6.

📌 Thus, the remainder is 6. Therefore, the final answer is:

📌 A hydrologist is analyzing groundwater flow and models a particular aquifer's recharge rate as a function of time using integers. If the recharge rate at time \( t \) is given by \( R(t) = 3t^2 + 2t + 1 \), for \( t = 1, 2, 3, \ldots, 10 \), what is the greatest common divisor of all values \( R(1), R(2), \ldots, R(10) \)?

📌 First, compute \( R(t) = 3t^2 + 2t + 1 \) for \( t = 1 \) to \( 10 \):

📌 R(1) &= 3(1)^2 + 2(1) + 1 = 3 + 2 + 1 = 6, \\

📌 R(2) &= 3(4) + 4 + 1 = 12 + 4 + 1 = 17, \\

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