The nth term of a sequence is given. Find the indicated term.
-$$c _ { n } = \frac { ( 2 n ) ! } { 5 n } ; c _ { 5 }$$
A) 8064
B) $3,628,800$
C) 145,152
D) $\frac { 2 } { 5 }$

Question

Quizplus · Accepted Answer

To find the 5th term, $c_5$, substitute $n = 5$ into the given formula: $$c_5 = \frac{(2*5)!}{5*5} = \frac{10!}{25}$$. Calculating $10!$ gives $3,628,800$, and dividing by 25 gives $145,152$.

The Nth Term of a Sequence Is Given cn=(2n)!5n;c5c _ { n } = \frac { ( 2 n ) ! } { 5 n } ; c _ { 5 }cn​=5n(2n)!​;c5​

The Nth Term of a Sequence Is Given $c _ { n } = \frac { ( 2 n ) ! } { 5 n } ; c _ { 5 }$