Pregunta
Which of the following best describes this sequence? \( \{5,8,11,14, \ldots\} \) An arithmetic sequence with a common difference of 3 . A geometric sequence with a common difference of 3 . An arithmetic sequence with a common ratio of 3 . A geometric sequence with a common ratio of 3 .
Ask by Hall Peters. in the United States
Feb 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sequence is an arithmetic sequence with a common difference of 3.
Solución
The sequence adds 3 to each term to get the next term. Therefore, it is an arithmetic sequence with a common difference of 3.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
An arithmetic sequence is one where each term is obtained by adding a constant value to the previous term. In this case, you can see that 5 + 3 = 8, 8 + 3 = 11, and 11 + 3 = 14. The common difference here is 3, making it an arithmetic sequence. On the flip side, a geometric sequence involves multiplying the previous term by a constant value to get the next term. Since our sequence involves addition, it clearly isn't geometric. So, it's an arithmetic sequence with a common difference of 3!
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