Find a Formula for The $n t h$ Term of the Following Geometric Sequence, Then Find the 4

question 113

Multiple Choice

Find a formula for the $n t h$ term of the following geometric sequence, then find the 4 th term of the sequence.
$7,28,112 , \ldots$

• A) \(a _ { n } = 7 ( 4 ) ^ { n } ; a _ { 4 } = 448\)
• B) \(a _ { n } = 7 ( 4 ) ^ { n } ; a _ { 4 } = 1792\)
• C) \(a _ { n } = 7 ( 4 ) ^ { n - 1 } ; a _ { 4 } = 1792\)
• D) \(a _ { n } = 7 ( 4 ) ^ { n - 1 } ; a _ { 4 } = 448\)
• E) \(a _ { n } = 7 ( 4 ) ^ { n - 1 } ; a _ { 4 } = 112\)

---

Definitions:

Predicate Term

An expression that conveys a property that a subject can have or a relation that can exist between the subject and another entity.

Quantifier

A term used in logic to specify the quantity of specimens in the domain of discourse that satisfy a certain condition.

Quantifier

A logical symbol that specifies the quantity of specimens in the domain of discourse that satisfy an open formula.

Categorical Proposition

A proposition that asserts or denies something about every member of a category.