$\text { Determine if the series } \sum _ { n = 1 } ^ { \infty } a _ { n } \text { defined by the formula converges or diverges. }$

question 48

Multiple Choice

$\text { Determine if the series } \sum _ { n = 1 } ^ { \infty } a _ { n } \text { defined by the formula converges or diverges. }$
- $a _ { 1 } = 4 , a _ { n + 1 } = \frac { 8 + \sin n } { n } a _ { n }$

• A) Diverges
• B) Converges

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Definitions:

Carotid Artery

A major artery supplying blood to the head and neck region, divided into internal and external branches.

Abdominal Aorta

The major blood vessel in the abdomen that supplies blood to the lower part of the body.

Gastric Artery

Any of the arteries supplying blood to the stomach, vital for providing the necessary oxygen and nutrients for gastric function.

Ductus Arteriosus

A fetal blood vessel connecting the pulmonary artery to the aortic arch, allowing most of the blood to bypass the fetus's developing lungs.