In the algebra problem: for any positive integers n,(n+1)!/n! -n=0 what does the ! mean?
What does n! mean
The ! in n! means n-factorial. A factorial is the product of all positive integers less than n.
To read more about factorials, visit this page on wikipedia: http://en.wikipedia.org/wiki/Factorial
The ! is the factorial sign. Example 4! = 4 x 3 x 2 x 1
12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
(n+1)!/n! -n ≠ 0
Do you mean (n+1)!/n! - (n+1) = 0?
Since (n+1)!/n! = (n+1)n!/n! = n+1, (n+1)!/n! - (n+1) = 0 is an identity for any positive integers n.