Find the Indicated $n$ Th Term of the Geometric Sequence $a _ { 3 } = - \frac { 3 } { 16 } , a _ { 9 } = - \frac { 3 } { 65,536 }$

question 79

Multiple Choice

Find the indicated $n$ th term of the geometric sequence.
5 th term: $a _ { 3 } = - \frac { 3 } { 16 } , a _ { 9 } = - \frac { 3 } { 65,536 }$

• A) \(\frac { 3 } { 1024 }\)
• B) \(- \frac { 4 } { 81 }\)
• C) \(- \frac { 3 } { 4096 }\)
• D) \(- \frac { 3 } { 256 }\)
• E) \(\frac { 3 } { 64 }\)

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Definitions:

Acid Strength

A measure of the propensity of a compound to donate a proton (H+) in an aqueous solution, often quantified by the acid dissociation constant (Ka).

Formic Acid

The simplest carboxylic acid with the chemical formula HCOOH, known for its role in ant stings.

Empirical Formula

The simplest expression of a compound's composition, showing the ratio of elements without structural information.

Elemental Analysis

Elemental analysis is a process by which the composition of chemical substances is determined, identifying the quantity of each element within a compound.