Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The set of the first 5 perfect squares is \(\{1, 4, 9, 16, 25\}\).
Solución
- 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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Bonus Knowledge
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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