Solve the Problem $1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots$

question 19

Multiple Choice

Solve the problem.
-Find the nth term of the following geometric sequence: $1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots$

• A) \(( 1 + \sqrt { 3 } ) ( \sqrt { 3 } ) ^ { n }\)
• B) \(( 3 + \sqrt { 3 } ) ( \sqrt { 3 } ) ^ { n - 1 }\)
• C) \(( 1 + \sqrt { 3 } ) ( \sqrt { 3 } ) ^ { \mathrm { n } - 1 }\)
• D) \(( 1 + \sqrt { 3 } ) \cdot 3 ^ { n - 1 }\)

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Definitions:

Sexually Transmitted Disease

Infections that are primarily spread through sexual contact, affecting both male and female reproductive systems.

Antibiotics

Medicinal substances used to kill or inhibit the growth of bacteria.

Gonorrhea

A sexually transmitted infection caused by the bacterium Neisseria gonorrhoeae, characterized by pain during urination and discharge from the genitalia.

Chlamydia

A common sexually transmitted infection caused by the bacterium Chlamydia trachomatis, often presenting with few or no symptoms but can lead to serious reproductive issues if untreated.