Determine Whether the Sequence Defined By $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$

question 81

Short Answer

Determine whether the sequence defined by $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$ converges or diverges. If it converges, find its limit.

Explain the significance of studying the genomes of pathogens to understand their evolution and impact on human health.

Understand the roles and enforcement powers of the Federal Trade Commission (FTC) under the Clayton Act.

Identify and describe the types of cases and legal standards applied by courts in antitrust litigation.

Understand the concept of tying agreements and their impact under Section 3 of the Clayton Act.

---

Definitions:

Certificates of Deposit

Financial products offered by banks that provide a fixed interest rate in exchange for keeping a deposit untouched for a predetermined period.

Annuity Due

A type of annuity whose payment is due immediately at the beginning of each period, as opposed to at the end, typical for retirement funds and insurance payouts.

Future Value

The value of an asset or cash at a specified date in the future that is equivalent in value to a specified sum today, often calculating the effects of interest.

Equal Annual Installments

A method of repaying a loan in which the borrower pays the lender the same amount of money each year until the loan, including interest, is fully paid off.