What is the explicit formula for this sequence?2, 6, 18, 54, 162, …A.an = 3(2)(n – 1)B.an = 2(3)nC.an = 2 + 3(n – 1)D.an = 2(3)(n – 1)

Question

What is the explicit formula for this sequence?2, 6, 18, 54, 162, …A.an = 3(2)(n – 1)B.an = 2(3)nC.an = 2 + 3(n – 1)D.an = 2(3)(n – 1)
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Solution 1

Para encontrar la fórmula explícita de la secuencia dada, sigamos estos pasos:

  1. Observemos los términos de la secuencia: 2, 6, 18, 54, 162, ...
  2. Identifiquemos el patrón de la secuencia. Cada término parece ser el resultado de multiplicar el término anterior por 3.
    • 6 = 2 * 3
    • 18 = 6 * Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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