Pregunta
3 Multiple Choice 10 points Which sequence is a geometric sequence with a common ratio of 2 ? \( \begin{array}{l}5,15,45,135, \ldots \\ 5,10,20,40, \ldots \\ 5,3,1,-1, \ldots \\ 5,7,9,11, \ldots\end{array} \)
Ask by Bowers Boone. in the United States
Feb 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sequence 5, 10, 20, 40, … is a geometric sequence with a common ratio of 2.
Solución
The answer is the sequence 5, 10, 20, 40, … Because:
• 10/5 = 2
• 20/10 = 2
• 40/20 = 2
Each term is obtained by multiplying the previous term by 2, so this is a geometric sequence with a common ratio of 2.
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Como
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Bonus Knowledge
The correct answer is: \(5,10,20,40,\ldots\). This sequence is a geometric sequence because each term is obtained by multiplying the previous term by a common ratio of 2. So, \(5 \times 2 = 10\), \(10 \times 2 = 20\), \(20 \times 2 = 40\), and so forth. If you're eager to learn more about geometric sequences, remember that they can be found in finance (like compound interest), nature (like population growth), and even digital technology (like computing powers). It's a fascinating concept that connects math to real-world phenomena!
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