Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. An 5 4' 16 = 2 Assume the first term is a₁ 11 14 64' 256 17 1024 ? -}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a formula for the general term \( a_n \) of the sequence assuming the pattern of the first few terms continues.

\[
\left\{ -\frac{5}{4}, \quad \frac{8}{16}, \quad -\frac{11}{64}, \quad \frac{14}{256}, \quad -\frac{17}{1024}, \quad \cdots \right\}
\]

Assume the first term is \( a_1 \).

\[ a_n = \boxed{} \]
Transcribed Image Text:Find a formula for the general term \( a_n \) of the sequence assuming the pattern of the first few terms continues. \[ \left\{ -\frac{5}{4}, \quad \frac{8}{16}, \quad -\frac{11}{64}, \quad \frac{14}{256}, \quad -\frac{17}{1024}, \quad \cdots \right\} \] Assume the first term is \( a_1 \). \[ a_n = \boxed{} \]
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