Question

Insira 3 meios aritmeticos entre 98 e 14

Answer 1

Bom dia Gabriela!

Solução!

Dados do problema!

a1=98

an=14

n=5

Formula da P.A

$an=a1+(n-1).r\\\\\\ 14=98+(5-1).r\\\\\\ 14=98+(4).r\\\\\\ 14-98=4r\\\\\\ -84=4r\\\\\\ r= -\dfrac{84}{4}\\\\\\ r=-21$

Fazendo a P.A,fica assim.

$P.A\{a1,a2,a3,a4,a5\}$

$a1=98\\\\ a2=a1+r=98-21=77\\\\\ a3=a2+r=77-21=56\\\\\ a4=a3+r=56-21=35\\\\\ a5=a4+r=35-21=14\\\\\\ P.A\{98,\underline{77,56,35},14\}$

Bom dia!
Bons estudos!