Use Factorial Notation
Write the First Four Terms of the Sequence

question 110

Multiple Choice

Use Factorial Notation
Write the first four terms of the sequence whose general term is given.
- $$a _ { n } = \frac { ( n - 1 ) ! } { n ^ { 5 } }$$

• A) \(1 , \frac { 1 } { 32 } , \frac { 2 } { 243 } , \frac { 3 } { 512 }\)
• B) \(\frac { 1 } { 5 } , \frac { 1 } { 10 } , \frac { 2 } { 15 } , \frac { 3 } { 10 }\)
• C) \(0,0 , \frac { 2 } { 243 } , \frac { 3 } { 512 }\)
• D) \(0,0 , \frac { 2 } { 15 } , \frac { 3 } { 10 }\)

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Definitions:

Testamentary Capacity

The legal competence of an individual to make a will, including the understanding of the nature of the document, the assets to be disposed of, and the identity of the beneficiaries.

Sound Mind

A state of mental capacity in which an individual can effectively understand and manage their affairs.

Lucid Period

A temporary phase of clear-mindedness or rationality that interrupts a longer period of impaired mental state.

Will Substitutes

Non-probate methods for transferring assets upon death, such as trusts, joint tenancies, and payable-on-death accounts, designed to avoid the probate process.