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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\(|a_1 - a_2| + |a_2 - a_3| + |a_3 - a_1| = 100.\)
What is the largest possible value of \(|a_1 - a_2|?\)

 Jun 25, 2024
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1. The largest possible value of |a_1 - a_2| is 20.

 

2. The largest possible value of |a_1 - a_2| is 10.

 Jul 5, 2024

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