Question

Qual a resposta dessa pergunta meus amores?​

Answer 1

1+x, 13+x, 49+x ==> P.G.

termos gerais de uma PG

an=a1.q^(n-1)

a2=a1.q

a3=a1.q²

13+x=(1+x).q

49+x=(1+x).q²

q=13+x/1+x

49+x=(1+x)[(13+x)/(1+x)]²

49+x=(13+x)²/(1+x)

(49+x)(1+x)=(13+x)²

49+50x+x²=169+26x+x²

24x=120

x=5 //.

1+x ==>6

13+x ==>18

49+x ==> 54

_____________ //.