Write out the first five terms of the sequence.
-$$\left\{ \frac { ( 2 n - 1 ) ! } { n ! } \right\}$$
A) $2,6,40,1260,72,576$

B) $1,6,40,1260,72,576$

C) $2,3,20,210,3024$

D) $1,3,20,210,3024$

Question

Write out the first five terms of the sequence.
-$$\left\{ \frac { ( 2 n - 1 ) ! } { n ! } \right\}$$
A) $2,6,40,1260,72,576$

B) $1,6,40,1260,72,576$

C) $2,3,20,210,3024$

D) $1,3,20,210,3024$

Quizplus · Accepted Answer

To find the first five terms of the sequence $\left\{ \frac { ( 2 n - 1 ) ! } { n ! } \right\}$, we substitute $n = 1, 2, 3, 4, 5$ into the formula. For $n=1$, the term is $\frac{(2*1-1)!}{1!} = 1$. For $n=2$, the term is $\frac{(2*2-1)!}{2!} = 3$. For $n=3$, the term is $\frac{(2*3-1)!}{3!} = 20$. For $n=4$, the term is $\frac{(2*4-1)!}{4!} = 210$. For $n=5$, the term is $\frac{(2*5-1)!}{5!} = 3024$.

Write Out the First Five Terms of the Sequence {(2n−1)!n!}\left\{ \frac { ( 2 n - 1 ) ! } { n ! } \right\}{n!(2n−1)!​}

Write Out the First Five Terms of the Sequence $\left\{ \frac { ( 2 n - 1 ) ! } { n ! } \right\}$