Find the Indicated Term of the Geometric Sequence $a _ { 1 } = 2000 , r = \frac { 1 } { 3 } ; \text { find } a _ { 11 }$

question 85

Multiple Choice

Find the indicated term of the geometric sequence.
-a $a _ { 1 } = 2000 , r = \frac { 1 } { 3 } ; \text { find } a _ { 11 }$

• A) \(\frac { 2000 } { 59049 }\)
• B) \(\frac { 2000 } { 531441 }\)
• C) \(\frac { 2000 } { 177147 }\)
• D) \(\frac { 6010 } { 3 }\)

---

Definitions:

N-Butyllithium

A strong base and organolithium reagent used in the deprotonation of molecules and in the synthesis of organic compounds.

Organic Product

A compound or substance that has been synthesized from carbon-based molecules, typically through chemical reactions involving organic compounds.

Diastereomers

Stereoisomers that are not mirror images of each other and possess different physical properties.

Enantiomer

Molecules that are mirror images of each other but are not superimposable, similar to a pair of hands.