Question

resolver a equação (n+2)!-(n+1)!=25

Answer 1

Vamos lá:

$\left(n+2\right)!-\left(n+1\right)!=25\\\left(\left(n+2\right)\cdot \:\:\left(n+1\right)!\right)-\left(n+1\right)!=25\:\\\left(n+1\right)!\cdot \left(\left(n+2\right)-1\right)=25\\\left(n+1\right)!\cdot \:\left(n+2-1\right)=25\\\left(n+1\right)!\cdot \:\left(n+1\right)=25$
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Espero ter ajudado!