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Home » But what about \( m = 2 \): no - inBeat

But what about \( m = 2 \): no - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 The sum of an arithmetic series is 210, with 10 terms and first term 5. What is the last term?

📌 Sum formula:

📌 \[ S_n = \frac{n}{2}(a + l) \]

📌 \[ 210 = \frac{10}{2}(5 + l) \]

📌 \[ 210 = 5(5 + l) \]

📌 \[ 42 = 5 + l \]

📌 \[ l = 37 \]

📌 A cone has a base radius of 4 cm and height 9 cm. What is its volume? (Use \( V = \frac{1}{3}\pi r^2 h \))

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Break-even point: \( 2000 \div 20 = 100 \) units
A cylindrical tank has a radius of 3 meters and a height of 5 meters....
\( V = \pi \times 3^2 \times 5 \)
\( V = \pi \times 9 \times 5 \)
\( V = 45\pi \) cubic meters
Approximate: \( 45 \times 3.1416 \approx 141.372 \)
#### 141.372
The sum of the first \( n \) natural numbers is 210. What is \( n \)?
Sum formula: \( \frac{n(n+1)}{2} = 210 \)
\( n(n+1) = 420 \)

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