Write the First Five Terms of the Sequence Defined Recursively $$a _ { 1 } = 19 , a _ { k + 1 } = a _ { k } - 5$$

question 25

Multiple Choice

Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1. ) $$a _ { 1 } = 19 , a _ { k + 1 } = a _ { k } - 5$$

• A) \[a _ { n } = 29 - 5 n ; 19,14,9,4 , - 6\]
• B) \(a _ { n } = 19 ; 19,19,19,19,19\)
• C) \[a _ { n } = 19 ( n - 1 ) ; 14,9,4 , - 1 , - 6\]
• D) \(a _ { n } = 19 - 5 n ; 19,14,9,4 , - 1\)
• E) \(a _ { n } = 24 - 5 n ; 19,14,9,4 , - 1\)

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Definitions:

Subduction Zone

Regions where one tectonic plate moves under another, often associated with volcanic activity and earthquakes.

Thrust Faulting

A geological fault in which the upper block, above the fault plane, moves up and over the lower block, commonly found in mountain ranges.

Accretionary Prism

A geological structure formed by the accumulation of sediments and rock fragments at a convergent tectonic plate boundary.

Subduction Zone

A region of the Earth's crust where tectonic plates converge, and one plate moves under another, leading to volcanic activity.