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Home » Final = 500 × (1.25)^4 - Veritas Home Health

Final = 500 × (1.25)^4 - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \( a_4 = a_3 + 2a_2 = 7 + 2(3) = 13 \)

📌 \( a_5 = a_4 + 2a_3 = 13 + 2(7) = 27 \)

📌 \( a_6 = a_5 + 2a_4 = 27 + 2(13) = 53 \)

📌 The area of a regular hexagon is \( 54\sqrt{3} \) square units. Find the length of one side.

📌 Area of regular hexagon \( = rac{3\sqrt{3}}{2} s^2 \), where \( s \) is side length.

📌 So \( rac{3\sqrt{3}}{2} s^2 = 54\sqrt{3} \).

📌 Divide both sides by \( \sqrt{3} \): \( rac{3}{2}

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6n - 3 \leq 500
\Rightarrow 6n \leq 503
\Rightarrow n \leq \frac{503}{6} \approx 83.83
So the largest integer \( n \) is 83.
Thus, there are 83 stable molecular points in the first 500 cubic unit...
\boxed{83}
Question:** A plant biologist discovers a growth pattern in a drought-...
Solution:** The sequence 2, 5, 8, 11, ... is arithmetic with first ter...
The sum \( S_n \) of the first \( n \) terms of an arithmetic sequence...
S_n = \frac{n}{2} (2a + (n - 1)d)

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