Choose the One Alternative That Best Completes the Statement or Answers

question 234

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
The nth term of a sequence is given. Write the first four terms of the sequence.
- $$a _ { n } = e ^ { 2 \ln n }$$

• A) \(2,4,8,16,32\)
• B) \(e , e ^ { 2 } , e ^ { 3 } , e ^ { 4 }\)
• C) \(1,4,9,16\)
• D) \(2,4,6,8\)

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Definitions:

Hyperbola

A type of smooth curve lying in a plane, defined by its geometric properties or by equations that satisfy its definition.

Asymptotes

Lines that a graph approaches but never actually touches, indicative of behavior at infinity or discontinuities.

Vertices

The plural of vertex, referring to the corners or intersecting points of geometric shapes or graphs.

Hyperbola

A type of smooth curve lying in a plane, consisting of two branches, which are mirror images of each other, and asymptotically approaching fixed lines.