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Home » General formula for the nth term of a geometric sequence: - Parker Core Knowledge

General formula for the nth term of a geometric sequence: - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Final count = 500 × 2¹⁵

📌 2¹⁰ = 1024, 2¹⁵ = 1024 × 32 = 32,768

📌 × 32,768 = 16,384,000

📌 #### 16384000

📌 On Mars, a colony’s water recycling system recovers 85% of used water daily. If colonists consume 400 liters per day, how much new water must be imported after 7 days to sustain the colony, assuming no initial reserves?

📌 Each day, 15% of water is lost: 15% of 400 = 0.15 × 400 = 60 liters lost daily

📌 Total loss over 7 days = 60 × 7 = 420 liters

📌 So, 420 liters must be imported after 7 days to maintain supply

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