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Home » G) Investigating the impact of medieval agriculture on soil composition - Crosslake

G) Investigating the impact of medieval agriculture on soil composition - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 $ a_4 = 5 + 3 = 8 $

📌 $ a_5 = 8 + 5 = 13 $

📌 $ a_6 = 13 + 8 = 21 $

📌 So 21 sequences with no two consecutive 3s.

📌 Total sequences: $ 2^6 = 64 $

📌 Thus, number with **at least one** "33" is $ 64 - 21 = 43 $

📌 Therefore, the answer is $ \boxed{43} $.

📌 \boxed{43}**Question: A vector \(\mathbf{v}\) satisfies \(\mathbf{v} \times \mathbf{b} = \begin{pmatrix} 0 \\ 3 \\ -4 \end{pmatrix}\) for \(\mathbf{b} = \begin{pmatrix} 1 \\ 0 \\ 2 \end{pmatrix}\). Find \(\mathbf{v}\).

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