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V = \frac16 \left| \det \beginbmatrix - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A sequence is defined such that the first term is 3, and each subsequent term is twice the previous term plus 1. What is the 5th term in this sequence?

📌 First term: \( a_1 = 3 \)

📌 Second term: \( a_2 = 2 \times 3 + 1 = 7 \)

📌 Third term: \( a_3 = 2 \times 7 + 1 = 15 \)

📌 Fourth term: \( a_4 = 2 \times 15 + 1 = 31 \)

📌 Fifth term: \( a_5 = 2 \times 31 + 1 = 63 \)

📌 A rectangular garden has a length that is 4 meters more than twice its width. If the perimeter of the garden is 68 meters, what are the dimensions of the garden?

📌 Let width = \( w \) meters, then length = \( 2w + 4 \) meters

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