Use the Formula for the General Term (The Nth Term) $a _ { 12 }$

question 105

Multiple Choice

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence
with the given first term, a1, and common ratio, r.
-Find $a _ { 12 }$ when $a _ { 1 } = 2,000 , r = - \frac { 1 } { 3 }$

• A) \(- \frac { 2000 } { 1594323 }\)
• B) \(\frac { 5989 } { 3 }\)
• C) \(\frac { 2000 } { 531441 }\)
• D) \(- \frac { 2000 } { 177147 }\)

---

Definitions:

Nervous System

The network of nerve cells and fibers that transmits signals between different parts of the body, coordinating its actions and sensory information.

Neural Connections

The links between neurons through which they communicate, allowing for the transmission of electrical or chemical signals across the nervous system.

Vertebrate

Organisms with backbones or spinal columns, including mammals, birds, reptiles, amphibians, and fish.

Vagus

Referring to the vagus nerve, which is the tenth cranial nerve and is involved in the parasympathetic control of the heart, lungs, and digestive tract.