Use Factorial Notation
Write the first four terms of the sequence whose general term is given.
-$\frac { 4 ! } { 6 ! }$
A) $\frac { 1 } { 30 }$
B) 30
C) 2 !
D) $\frac { 1 } { 2 ! }$

Question

Quizplus · Accepted Answer

We know that n! represents n factorial, which is the product of all positive integers up to and including n. Using this notation, we can rewrite the given fraction as:

\frac{4!}{6!} = \frac{1 	imes 2 	imes 3 	imes 4}{1 	imes 2 	imes 3 	imes 4 	imes 5 	imes 6}

We can simplify this expression by cancelling out common factors in the numerator and denominator:

\frac{1 	imes 2 	imes 3 	imes 4}{1 	imes 2 	imes 3 	imes 4 	imes 5 	imes 6} = \frac{1}{5 	imes 6} = \frac{1}{30}

Therefore, the first four terms of the sequence are:

a_1 = \frac{4!}{6!} = \frac{1}{30}
a_2 = 
a_3 = 
a_4 =

Use Factorial Notation Write the First Four Terms of the Sequence

Use Factorial Notation
Write the First Four Terms of the Sequence