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Home » \(0.60x = 1.35\) - Londonproperty

\(0.60x = 1.35\) - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 a_n = S_n - S_{n-1}

📌 Calculate \( S_{10} \) and \( S_9 \):

📌 S_{10} = 2(10)^2 + 3(10) = 200 + 30 = 230

📌 S_9 = 2(9)^2 + 3(9) = 162 + 27 = 189

📌 a_{10} = S_{10} - S_9 = 230 - 189 = 41

📌 #### 10th term: 41

📌 A rectangular swimming pool is 25 meters long and 10 meters wide. A walkway of uniform width surrounds the pool, increasing the total area to 600 square meters. Find the width of the walkway.

📌 Let the width of the walkway be \( x \) meters.

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But the problem says: "scales with mass and inversely proportional to...
But 0.8 < 1.6, so mass must be smaller — contradiction.
Unless the 1.6 arcsec is for the nearby cluster? But it says "a nearby...
Re-read: "a nearby cluster tallies a separation of 1.6 arcseconds at e...
But 0.8 < 1.6 → so mass must be less — but lensing is weaker. So small...
So the given separateion (0.8) corresponds to less mass? But the claim...
Resolution: the proportionality is approximate, but the problem says "...
So for same distance, ∝ mass. So smaller separation → smaller mass.
Therefore, 0.8 < 1.6 → mass of distant cluster is 0.8 / 1.6 = 0.5 time...
So ratio = 0.5

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