Pertanyaan

Tentukan nilai n yang memenuhi persamaan : c. 2 ! ⋅ ( n − 1 ) ( n + 1 )! = ( n − 2 ) ! n !

Tentukan nilai n yang memenuhi persamaan :

c. $\frac{( n + 1 )!}{2 ! \cdot ( n - 1 )} = \frac{n !}{( n - 2 ) !}$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

n = 3.

Pembahasan

Jadi, n = 3.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses n plus 1 close parentheses factorial over denominator 2 factorial. open parentheses n minus 1 close parentheses factorial end fraction end cell equals cell fraction numerator n factorial over denominator open parentheses n minus 2 close parentheses factorial end fraction end cell row cell fraction numerator open parentheses n plus 1 close parentheses. up diagonal strike open parentheses n close parentheses factorial end strike over denominator 2 factorial. open parentheses n minus 1 close parentheses. up diagonal strike open parentheses n minus 2 close parentheses factorial end strike end fraction end cell equals cell fraction numerator up diagonal strike n factorial end strike over denominator up diagonal strike open parentheses n minus 2 close parentheses factorial end strike end fraction end cell row cell n plus 1 end cell equals cell 2 n minus 2 space end cell row n equals 3 end table end style$

Jadi, n = 3.