Answer:
The correct answer is Option c (120).
Step-by-step explanation:
The given value is:
[tex]a_1=1[/tex]
[tex]a_n=n(a_{n-1})[/tex]....(equation)
On putting the value of [tex]a_1[/tex] in the above equation, we get
⇒ [tex]a_2=2(a_{2-1})[/tex]
[tex]=2(a_1)[/tex]
[tex]=2\times 1[/tex]
[tex]=2[/tex]
⇒ [tex]a_3=3(a_{3-1})[/tex]
[tex]=3(a_2)[/tex]
[tex]=3\times 2[/tex]
[tex]=6[/tex]
⇒ [tex]a_4=4(a_{4-1})[/tex]
[tex]=4(a_3)[/tex]
[tex]=4\times 6[/tex]
[tex]=24[/tex]
hence,
⇒ [tex]a_5=5(a_{5-1})[/tex]
[tex]=5(a_4)[/tex]
[tex]=5\times 24[/tex]
[tex]=120[/tex]
Thus the above is the correct solution.
