11 grade maths others
What is the factorial of (n + 1)?
What is the factorial of (n + 1)?
1 Answer
Askiitians Tutor Team
The factorial of a number
n is denoted as
!
n! and represents the product of all positive integers from 1 to
n. To calculate the factorial of
+
1
n+1, we simply multiply all the positive integers from 1 to
+
1
n+1. Therefore, the factorial of
+
1
n+1 is expressed as
(
+
1
)
!
(n+1)!.
Mathematically,
(
+
1
)
!
=
(
+
1
)
×
×
(
−
1
)
×
…
×
3
×
2
×
1
(n+1)!=(n+1)×n×(n−1)×…×3×2×1.
For example, if
=
4
n=4, then
(
+
1
)
!
=
5
!
=
5
×
4
×
3
×
2
×
1
=
120
(n+1)!=5!=5×4×3×2×1=120.
Keep in mind that calculating factorials of large numbers can result in very large values, and the number can grow rapidly as
n increases.
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