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Home » Azura’s Star: The Hidden Gem You’ve Been Searching For—Awaits! - Carbonext

Azura’s Star: The Hidden Gem You’ve Been Searching For—Awaits! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \[ S_{n-1} = 3(n-1)^2 + 5(n-1) \]

📌 \[ = 3(n^2 - 2n + 1) + 5n - 5 \]

📌 \[ = 3n^2 - 6n + 3 + 5n - 5 \]

📌 \[ = 3n^2 - n - 2 \]

📌 \[ a_n = (3n^2 + 5n) - (3n^2 - n - 2) \]

📌 \[ = 3n^2 + 5n - 3n^2 + n + 2 \]

📌 \[ = 6n + 2 \]

📌 If \( x^2 - 4x - 21 = 0 \), find the values of \( x \).

🔥 Popular Posts

Total time: 5 hours + 4 hours = 9 hours.
Average speed = Total distance / Total time = 600 km / 9 hours = 66.67...
A company produces gadgets. The fixed costs are $5000, and each gadget...
Let x be the number of gadgets.
Revenue from x gadgets: 25x.
Cost of producing x gadgets: 10x + 5000.
25x = 10x + 5000.
Solve for x: 25x - 10x = 5000, 15x = 5000, x = 5000 / 15, x = 333.33.
Round up to the nearest whole number: 334 gadgets.
#### 334

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