SOLUTION: For any positive integer n, ((n+1)!/n!)-n = The answer is 1 Please explain....

SOLUTION: For any positive integer n, ((n+1)!/n!)-n = The answer is 1 Please explain....

Algebra.Com

Question 760903: For any positive integer n, ((n+1)!/n!)-n =
The answer is 1 Please explain....
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
((n+1)!/n!)-n =
work the terms inside the parenthesis first
note that (n+1)! = (n+1)*n!, so
(n+1)*(n)! / n! = n+1 because the n! terms cancel
we are left with
n+1 - n = 1

RELATED QUESTIONS
please help me for any positive integer n,... (answered by vleith)

For positive integer values of N, let N be defined as: N = 2 + 4 + 6 + ... + N, if N (answered by Edwin McCravy)

use mathematical induction to prove that the following statement is true for every... (answered by ikleyn)

use mathematical induction to prove that the following statement is true for every... (answered by ikleyn)

Find the largest positive integer $n$ such that \[\frac{(n + 1)^2}{n + 2}\] is an... (answered by Edwin McCravy,math_tutor2020)

If n is any positive odd integer greater than 1, the n(n^2 � 1) is always divisible by: (answered by richwmiller)

Find all integers n for which (n^2+n+1)/(n-1) is an... (answered by josgarithmetic)

Z=1+i√3. Find the smallest positive integer n for which z^n is real and evaluate... (answered by khwang)

Prove that {{{ (-1+i*sqrt(3))^n + (-1-i*sqrt(3))^n }}} has either the value {{{ 2^(n+1) (answered by greenestamps)