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(n+1)!-------(n-1)! the choices are (n+1)(n)(n-1), (n+2)(n+1)(n), (n), and (n+1)(n)

User ChrisP
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2 Answers

6 votes

Answer:

not sure,,

Explanation:

User Elf Sternberg
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6.1k points
3 votes

To answer this question, we need to remember the nature of the factorial of a number. It can be expressed as:


n!=n\cdot(n-1)\cdot(n-2_{})\cdot3\cdot2\cdot1

We can use the same principle to simplify the expression in the question, as follows:


((n+1)!)/((n-1)!)=((n+1)\cdot(n+1-1)\cdot(n+1-2)!)/((n-1)!)

Now, we have:


((n+1)!)/((n-1)!)=((n+1)\cdot(n)\cdot(n-1)!)/((n-1)!)

Since we have that:


((n-1)!)/((n-1)!)=1

The expression can be written as:


((n+1)!)/((n-1)!)=(n+1)\cdot n

Therefore, the original equation can be rewritten as (n+1) * n (last option).

User Joshu
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