Write a Nonrecursive Formula for the Nth Term of the Arithmetic

question 64

Multiple Choice

Write a nonrecursive formula for the nth term of the arithmetic sequence {an} based on the given
information.
- $$a _ { 1 } = \frac { 1 } { 2 } , d = \frac { 2 } { 3 }$$

• A) \(a _ { n } = \frac { 2 } { 3 } n + \frac { 1 } { 6 }\)
• B) \(a _ { n } = - \frac { 1 } { 6 } n + \frac { 2 } { 3 }\)
• C) \(a _ { n } = - \frac { 1 } { 6 } n - \frac { 2 } { 3 }\)
• D) \(a _ { n } = \frac { 2 } { 3 } n - \frac { 1 } { 6 }\)

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Definitions:

Hybridization

The concept in molecular chemistry and physics that describes the mixing of atomic orbitals to form new hybrid orbitals suitable for the pairing of electrons to form chemical bonds.

Indicated Atom

An atom within a molecule highlighted or specified for discussion or analysis.

Uracil

A nitrogen-containing base (a pyrimidine) found in RNA, where it pairs with adenine and replaces thymine during DNA transcription.

Molecular Shape

The three-dimensional arrangement of atoms within a molecule, determined by various physical and chemical factors, impacting chemical reactivity and interactions.