Answer:
362881
Step-by-step explanation:
The right sequence should be
2,3,7,25,121,721,5041,40321, 362881
Here, the formula used is a(n)=n!+1 where n=1 to infininity
n(1) =2=1!+1=2
n(2)= 3=2!+1=3
n(3)=7=3!+1=7
n(4)=25=4!+1=25
n(5)=121=5!+1=121
n(6)=721=6!+1=721
n(7)=5041=7!+1=5041
n(8)=40321=8!+1=40321
n(9)=362881=9!+1=362881
The next number of given sequence is 362881.
To understand more, check below explanation.
The given sequence is;
2,3,7,25,121,721,5041,40321
We have to find next number of the given sequence.
From the given sequence, the formula used in he given sequence is,
[tex]a(n)=n! +1[/tex]
n(1) =2=1!+1=2
n(2)= 3=2!+1=3
n(3)=7=3!+1=7
n(4)=25=4!+1=25
n(5)=121=5!+1=121
n(6)=721=6!+1=721
n(7)=5041=7!+1=5041
n(8)=40321=8!+1=40321
So that, next number of sequence is,
n(9)=362881=9!+1=362881
Learn more about sequence and series here:
https://brainly.com/question/24295771
