00:01
In this problem of sequence we have given that this is 1 square divided with this is 2 plus this is here 2 square divided with 6 and then 3 square this is 3 squared divided with 24 and then here 4 square divided with this is 120 and plus dot dot this is 7 square divided with 4 4040, 320 and now we have to write this sequence in sigma notation.
00:38
So this is simply 2 factorial, this is 2 factorial, this is 3 factorial, this is 4 factorial, and this is 5 factorial.
00:48
So that means this is the first term that means here n plus 1 factorial, it is shooting here n plus 1 factorial, the sequence like shooting here n plus 1 factorial or i plus 1 factorial or i plus 1 factorial and also here this is 1 square is 2 square 3 square so the nth term is given by here a n is given by like here n squared this is n squared divided with n plus 1 and the factorial so or also if we are here tracing with the different variable that is a i so a i term is given by i square i plus 1 factorial so, here it is going from 1 to this is first term.
01:37
So this is n plus 1.
01:39
And now this is going from this is simply 8 factorial.
01:43
So 40 ,320 is simply 8 factorial...