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1. Let \(a_1,a_2,a_3\)  be real numbers such that \(|a_1 - a_2| + |a_2 - a_3| + |a_3 - a_1| = 100\)
What is the largest possible value of \(|a_1 - a_2|?\)

2. Let  \(a_1,a_2,a_3,\dots,a_{10}\)    be real numbers such that \(|a_1 - a_2| + |a_2 - a_3| + |a_3 - a_4| + |a_4 - a_5| + \dots + |a_9 - a_{10}| + |a_{10} - a_1| = 500.\)
What is the largest possible value of \(|a_1 - a_6|?\)

 Jun 26, 2024
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Oh! I think you have a typo there :). It should be "plsplspls help me cheat on my homework." Good luck!

 Jun 26, 2024
edited by Holtran  Jun 26, 2024

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