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Question Write the following set using the roster method. Make sure to separate elements with a comma. - The first 5 perfect squares, starting with 1

Ask by Frazier Craig. in the United States
Mar 09,2025

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Answer

The set of the first 5 perfect squares is \(\{1, 4, 9, 16, 25\}\).

Solution

- We need to list the first 5 perfect squares starting with 1. - A perfect square is any number that can be written as \( n^2 \) for some integer \( n \). - The first 5 perfect squares are: - For \( n = 1 \): \( 1^2 = 1 \) - For \( n = 2 \): \( 2^2 = 4 \) - For \( n = 3 \): \( 3^2 = 9 \) - For \( n = 4 \): \( 4^2 = 16 \) - For \( n = 5 \): \( 5^2 = 25 \) - Using the roster method, the set is: \(\{1, 4, 9, 16, 25\}\)

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The first five perfect squares, starting with 1, are: 1, 4, 9, 16, 25. Perfect squares come from multiplying an integer by itself, so 1 (1x1), 2 (2x2), and so on, all create a pattern that's easy to follow. These squares are not just math fun; they're often seen in geometry, art, and nature!

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