Find the Sum of the Infinite Geometric Series $a + a x ^ { 2 } + a x ^ { 4 } + a x ^ { 6 } + \ldots$

question 9

Multiple Choice

Find the sum of the infinite geometric series. $a + a x ^ { 2 } + a x ^ { 4 } + a x ^ { 6 } + \ldots$

• A) \(S = \frac { x } { 1 - \alpha ^ { 2 } }\)
• B) \(S = \frac { \alpha } { 1 - x ^ { 4 } }\)
• C) \(S = \frac { x ^ { 2 } } { 1 - a ^ { 2 } }\)
• D) \(S = \frac { 1 } { 1 + x ^ { 2 } }\)
• E) \(S = \frac { \alpha } { 1 - x ^ { 2 } }\)

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Definitions:

RNA Primase

An enzyme that creates a short RNA primer as the first step in DNA replication, necessary for DNA polymerase to initiate synthesis.

Okazaki Fragments

Short sequences of DNA nucleotides which are synthesized discontinuously and later joined together during DNA replication on the lagging strand.

DNA Ligase

A catalyst that aids in connecting strands of DNA by promoting the creation of a phosphodiester linkage.

Apoptosis

A process of programmed cell death that occurs in multicellular organisms, maintaining health by eliminating old, unnecessary, or unhealthy cells.