Use Factorial Notation
Write the first four terms of the sequence whose general term is given.
-$$a _ { n } = \frac { n ^ { 5 } } { ( n - 1 ) ! }$$
A) $1,32 , \frac { 243 } { 2 } , \frac { 512 } { 3 }$
B) $5,10 , \frac { 15 } { 2 } , \frac { 10 } { 3 }$
C) $\frac { 1 } { 0 } , \frac { 32 } { 0 } , \frac { 243 } { 2 } , \frac { 512 } { 3 }$
D) $\frac { 5 } { 0 } , \frac { 10 } { 0 } , \frac { 15 } { 2 } , \frac { 10 } { 3 }$

Question

Quizplus · Accepted Answer

For $n=1$, $a_1 = \frac{1^5}{(1-1)!} = 1$. For $n=2$, $a_2 = \frac{2^5}{(2-1)!} = 32$. For $n=3$, $a_3 = \frac{3^5}{(3-1)!} = \frac{243}{2}$. For $n=4$, $a_4 = \frac{4^5}{(4-1)!} = \frac{512}{3}$.

Use Factorial Notation Write the First Four Terms of the Sequence

Use Factorial Notation
Write the First Four Terms of the Sequence