Find $a _ { n } \text { and } a _ { 6 }$

question 360

Multiple Choice

Find $a _ { n } \text { and } a _ { 6 }$ for the following arithmetic sequence.
-2, 10, 18, 26, 34, . . .

• A) \(a _ { n } = 2 ( 4 n - 3 ) ; a _ { 6 } = 42\)
• B) \(a _ { n } = 8 n - 3 ; a _ { 6 } = 45\)
• C) \(a _ { n } = 6 n - 8 ; a _ { 6 } = 28\)
• D) \(a _ { n } = 2 ( 8 ) ^ { n - 1 } ; a _ { 6 } = 16\)

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Definitions:

Cartilage

A flexible, connective tissue found in various parts of the body, including joints, ear structure, and nose, providing support and cushioning.

Static Stretching

A form of stretching exercises in which individuals extend their muscles to the fullest length and hold the position for several seconds or longer to increase flexibility.

Ballistic Stretching

A method of stretching that involves quick, bouncing movements to push the body parts beyond their usual range of motion, increasing flexibility.

Dynamic Stretching

Stretching exercises that involve movement and are used to improve flexibility and warm up the muscles before exercise.