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Home » If the sum of the first \(n\) natural numbers is 210, find \(n\). - Sterling Industries

If the sum of the first \(n\) natural numbers is 210, find \(n\). - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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\( r = \sqrt{\frac{50}{\pi}} \)
#### \(\sqrt{\frac{50}{\pi}}\)
A projectile is launched with an initial velocity of 20 m/s at an angl...
Vertical component: \( v_y = 20 \sin(30^\circ) = 10 \) m/s
Maximum height: \( h = \frac{v_y^2}{2g} = \frac{10^2}{2 \times 9.8} \a...
The sum of the infinite geometric series \( 3 + 1.5 + 0.75 + \ldots \)...
First term \( a = 3 \), common ratio \( r = 0.5 \)
Sum: \( S = \frac{a}{1 - r} = \frac{3}{1 - 0.5} = \frac{3}{0.5} = 6 \)
Find the derivative of \( f(x) = x^3 - 3x^2 + 5x - 7 \) at \( x = 2 \)...
\( f'(x) = 3x^2 - 6x + 5 \)

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