Find a Formula for the N Th Term of the Geometric

question 67

Multiple Choice

Find a formula for the n th term of the geometric sequence. Assume that n begins with 1. $4,-10,25,-\frac{125}{2}, \ldots$

• A) \(a_{n}=2\left(-\frac{5}{2}\right)^{n-1}\)
• B) \(a_{n}=2\left(-\frac{5}{2}\right)^{n-2}\)
• C) \(a_{n}=4\left(-\frac{5}{2}\right)^{n-1}\)
• D) \(a_{n}=-2\left(-\frac{5}{2}\right)^{n}\)
• E) \(a_{n}=-4\left(-\frac{5}{2}\right)^{n}\)

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Definitions:

Organization

The structured arrangement of resources and processes to achieve specific goals or the act of arranging elements in a systematic way.

Research Methods

Research methods encompass the techniques, strategies, and procedures used in scientific inquiry to gather, analyze, and interpret data, ensuring validity and reliability of results.

Working Memory

An intellectual capacity system with limitations, meant for short-duration information retention for processing requirements.

Implicit

Something understood or implied without being stated openly; often refers to unconscious attitudes or beliefs.