Determine Convergence or Divergence of the Alternating Series $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 7 n ^ { 8 } + 3 } { 6 n ^ { 2 } + 7 } \right)$$

question 102

Multiple Choice

Determine convergence or divergence of the alternating series.
- $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 7 n ^ { 8 } + 3 } { 6 n ^ { 2 } + 7 } \right)$$

• A) Diverges
• B) Converges

Make writing nondiscriminatory by using inclusive language.

Apply the use of short words to simplify writing.

Utilize precise language for clear and effective communication.

Correctly use idioms to enrich writing.

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Definitions:

Earthworms

Invertebrate animals belonging to the class Oligochaeta, known for their role in aerating the soil and enhancing soil fertility through their digestion process.

Marine Annelids

Worm-like organisms that live in marine environments, part of the phylum Annelida, known for their segmented bodies.

Parapodia

Parapodia are paired, lateral extensions on each segment of some annelids, such as polychaetes, used for locomotion and sometimes respiration.

Bivalve

Type of mollusc with a shell composed of two valves; includes clams, oysters, and scallops.