Výrazy s faktoriálmi | math4u.vsb.cz

Pridané používateľom vladimir.arzt dňa Pi, 03/08/2024 - 09:19

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7100000015

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Spárujte výrazy s ich zjednodušenými tvarmi.

Question 1:

\frac{(n - 1)!}{(n + 1)!}

Answer 1:

\frac{1}{(n + 1) \cdot n}

Question 2:

\frac{(n + 2) (n + 1)!}{n!}

Answer 2:

(n + 2) (n + 1)

Question 3:

\frac{(n + 2)!}{(n + 2) (n + 1)}

Answer 3:

n!

Question 4:

\frac{1}{n!} + \frac{1}{(n + 1)!}

Answer 4:

\frac{n + 2}{(n + 1) \cdot n!}

Question 5:

\frac{(n + 2)!}{(n + 1)!}

Answer 5:

$n + 2$

Question 6:

\frac{n + 1}{(n + 1)!} + \frac{n - 1}{n!}

Answer 6:

\frac{1}{(n - 1)!}

Question 7:

\frac{n + 1}{(n + 1)!}

Answer 7:

\frac{1}{n!}

Question 8:

\frac{n \cdot (n - 1)!}{n!}

Answer 8:

1

Question 9:

\frac{1}{n!} - \frac{1}{(n - 1)!}

Answer 9:

\frac{1 - n}{n!}