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Let's solve this step by step: Given a sequence [3, 1, 4, 1, 5, 9, 2, 6, 5, 3], find the second largest number and explain your reasoning.
Let me break this down systematically: 1. First, let's identify all unique numbers in the sequence: [3, 1, 4, 1, 5, 9, 2, 6, 5, 3] Unique numbers: [1, 2, 3, 4, 5, 6, 9] 2. Now, let's order them from largest to smallest: 9 > 6 > 5 > 4 > 3 > 2 > 1 3. The largest number is 9 The second largest number is 6 Therefore, the second largest number in the sequence is 6.
Can you explain why we needed to identify unique numbers first?
Great question! Let me explain the importance of identifying unique numbers: 1. Duplicate numbers can be misleading: - In our sequence, 5 appears twice - 3 appears twice - 1 appears twice 2. If we didn't remove duplicates: - We might count the same number multiple times - This could affect our ranking of "second largest" 3. By identifying unique numbers first: - We ensure each number is considered only once - We get a clear, unambiguous ranking - We avoid the confusion of duplicate values This systematic approach ensures accuracy and clarity in our solution.
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