2024 AMC 8 Problem 4
Below is the video solution and professionally curated solution for Problem 4 of the 2024 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2024 AMC 8 solutions, or check the answer key.
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Difficulty rating: 770
4.
When Yunji added all the integers from to she mistakenly left out a number. Her incorrect sum turned out to be a square number. Which number did Yunji leave out?
Video solution:
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Written solution:
To find the number that Yunji left out, we need to find the sum of the integers from to and find its difference with the largest perfect square below the sum. We can calculate the sum of the integers from to as follows: The largest perfect square less than would be and .
Thus, E is the correct answer.
Problem 4 in Other Years
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