Question Give an explicit formula for the $$ n $$th term of the following sequence. Do not include " $$ a_{n}= $$ " in your response. \[ \frac{4}{5},-\frac{16}{9}, \frac{64}{13},-\frac{256}{17}, \frac{1024}{21}, \ldots \]

\[ \frac{4(-4)^{n-1}}{4n+1} \] \[ \frac{4(-4)^{n-1}}{4n+1} \]

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Question
Give an explicit formula for the th term of the following sequence. Do not include " " in your response.

Ask by Sherman Clarke. in the United States

Mar 19,2025

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Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Extra Insights

The

th term of the sequence can be expressed as

To break it down, you can see that the numerator follows a pattern of powers of 4, while the denominator is a linear function based on the term number,

. Each term switches signs, which is captured by the

factor.

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Question Give an explicit formula for the th term of the following sequence. Do not include " " in your response.