Choose the One Alternative That Best Completes the Statement or Answers

question 8

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-Suppose you wish to prove the statement that follows using the extended principle of mathematical is 2 is a factor of $5 ^ { n } - 3$ , for all natural numbers $n$ .
Assume that $S _ { k }$ is true for $\mathrm { k } \geq 1$ where $S _ { k }$ is the statement that 2 is a factor of $5 ^ { k } - 3$ , and write the statement $S _ { k + 1 }$ .

• A) \(S _ { k + 1 } : 2\) is a factor of \(5 ^ { k + 1 } - 3\).
• B) \(S _ { k + 1 } : 2\) is a factor of \(6 ^ { k + 1 } - 3\).
• C) \(S _ { k + 1 } : 2\) is a factor of \(6 ^ { k } - 3\).
• D) \(S _ { k + 1 } : 2\) is a factor of \(5 ^ { k } - 2\). ion.

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Definitions:

Arbitration

A method of dispute resolution where a neutral third party (arbitrator) hears the evidence and makes a decision that is usually binding.

International Disputes

Conflicts that arise between nations over issues such as territory, resources, or treaty obligations.

Resolving

The process of finding solutions to disputes, conflicts, or complex issues.

Venue

The geographic location in which a case is tried or a legal matter is to be decided.