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) $0,0 , \frac { 2 } { 15 } , \frac { 3 } { 10 }$

Question

Quizplus · Accepted Answer

We have

$a_1=\frac{0!}{1^5}=0$

$a_2=\frac{1!}{2^5}=\frac{1}{32}$

$a_3=\frac{2!}{3^5}=\frac{2}{243}$

$a_4=\frac{3!}{4^5}=\frac{3}{512}$

Therefore, the answer is (A).

Use Factorial Notation Write the First Four Terms of the Sequence

Use Factorial Notation
Write the First Four Terms of the Sequence