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Home » The ratio is \( 3/2 = 15/x \). - 500apps

The ratio is \( 3/2 = 15/x \). - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 So the structure is uniquely determined: H in positions 1,3,5,7 and P in 2,4,6.

📌 No other configuration allows 4 non-adjacent H’s in 7 positions.

📌 Thus, only **one** such sequence satisfies the condition.

📌 But wait — is that correct? Let's verify:

📌 Can we place 4 non-adjacent H’s in 7 positions?

📌 The minimal length needed for 4 non-adjacent H’s is: H _ H _ H _ H → 7 positions (with 3 P’s in between).

📌 This is the only possible arrangement (up to shifting, but shifting is fixed by positions).

📌 So only one valid configuration exists.

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Let \(a\) be the distance from the wall, \(b = 8\), \(c = 10\).
\(a^2 + 8^2 = 10^2\).
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Substitute \(n = 5\) into the formula.
\(a_5 = 3(5)^2 + 2(5) + 1\).
\(a_5 = 3(25) + 10 + 1 = 75 + 10 + 1 = 86\).
#### 86
A rectangular garden has a length that is 3 times its width. If the pe...
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