Find the Nth Term of the Geometric Sequence $2 , - 6,18 , \ldots ; \mathrm { n } = 9$

question 260

Multiple Choice

Find the nth term of the geometric sequence.
- $2 , - 6,18 , \ldots ; \mathrm { n } = 9$

• A) 13,122
• B) 6561
• C) \(- 39,366\)
• D) 118,098

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Definitions:

Proportional Tax

A proportional tax is a tax system where the tax rate remains constant regardless of the amount subject to taxation, meaning individuals pay the same percentage of their income regardless of income level.

Regressive Tax

A tax imposed in such a manner that the tax rate decreases as the amount subject to taxation increases, disproportionately affecting those with lower income.

Average Tax Rate

The ratio of total taxes paid to the total taxable income, reflecting the percentage of income that goes to taxes.

Tax-Free

Earnings or financial transactions that are exempt from taxation by the government.