Determine Whether the Given Series Converges or Diverges $$\sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n } + 8 ^ { n } } { 12 ^ { n } }$$

question 24

Short Answer

Determine whether the given series converges or diverges.If it converges, find its sum. $$\sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n } + 8 ^ { n } } { 12 ^ { n } }$$

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Definitions:

Farmers And Merchants

Refers to the traditional backbone of local economies, especially before industrialization, representing those who produce food and goods and those who trade them.

Chinese Immigrants

Relates to people from China who migrated to various countries around the world, particularly notable in the 19th and early 20th centuries to the United States for railroad construction and mining.

Western Gold Fields

Areas in the western United States, particularly in California and Alaska, where gold was discovered in the 19th century, leading to gold rushes and significant migration.

Seasonal Workers

Individuals who are employed in temporary jobs that correspond to certain seasons of the year, often in agriculture, tourism, and holiday-related industries.