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:

Income Inequality

The unequal distribution of an economy’s total income among households or families.

Minimum Standard

A predefined level of quality, performance, or capability that products, services, or processes must meet or exceed, often set by regulatory bodies.

Marginal Tax Rate

The marginal tax rate is the percentage of tax applied to your income for each tax bracket in which you qualify, essentially the tax rate on your last dollar of income.

Progressive Tax

A tax system in which the tax rate increases as the taxable amount increases, often aimed at ensuring tax equity.