Respostas
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Boa noite Juliana!
Solução!
P.A{7-, - ,-, -, -, -, -,42}
an=42
n=8
a1=7
r=?
Com os dados do problema separados,vamos determinar a razão.
Formula do termo geral da P.A.
![an=a1+(n-1).r\\\\\\
42=7+(8-1).r\\\\\
42=7+7r\\\\\
42-7=8r\\\\\
35=7r\\\\\
r= \dfrac{35}{7}\\\\\ r=5](https://tex.z-dn.net/?f=an%3Da1%2B%28n-1%29.r%5C%5C%5C%5C%5C%5C%0A42%3D7%2B%288-1%29.r%5C%5C%5C%5C%5C%0A42%3D7%2B7r%5C%5C%5C%5C%5C%0A42-7%3D8r%5C%5C%5C%5C%5C%0A35%3D7r%5C%5C%5C%5C%5C%0Ar%3D+%5Cdfrac%7B35%7D%7B7%7D%5C%5C%5C%5C%5C%C2%A0r%3D5+ "an=a1+(n-1).r\\\\\\
42=7+(8-1).r\\\\\
42=7+7r\\\\\
42-7=8r\\\\\
35=7r\\\\\
r= \dfrac{35}{7}\\\\\ r=5")
Fazendo!
![a1=7\\\\\
a2=a1+r=7+5=12\\\\\
a3=a2+r=12+5=17\\\\\
a4=a3+r=17+5=22\\\\\
a5=a4+r=22+5=27\\\\\
a6=a5+r=27+5=32\\\\\\
a7=a6+r=32+5=37 \\\\\\
a8=a7+r=37+5=42](https://tex.z-dn.net/?f=a1%3D7%5C%5C%5C%5C%5C%0Aa2%3Da1%2Br%3D7%2B5%3D12%5C%5C%5C%5C%5C%0Aa3%3Da2%2Br%3D12%2B5%3D17%5C%5C%5C%5C%5C%0Aa4%3Da3%2Br%3D17%2B5%3D22%5C%5C%5C%5C%5C%0Aa5%3Da4%2Br%3D22%2B5%3D27%5C%5C%5C%5C%5C%0Aa6%3Da5%2Br%3D27%2B5%3D32%5C%5C%5C%5C%5C%5C%0Aa7%3Da6%2Br%3D32%2B5%3D37+%5C%5C%5C%5C%5C%5C%0Aa8%3Da7%2Br%3D37%2B5%3D42 "a1=7\\\\\
a2=a1+r=7+5=12\\\\\
a3=a2+r=12+5=17\\\\\
a4=a3+r=17+5=22\\\\\
a5=a4+r=22+5=27\\\\\
a6=a5+r=27+5=32\\\\\\
a7=a6+r=32+5=37 \\\\\\
a8=a7+r=37+5=42")
Boa noite!
Bons estudos!
Solução!
P.A{7-, - ,-, -, -, -, -,42}
an=42
n=8
a1=7
r=?
Com os dados do problema separados,vamos determinar a razão.
Formula do termo geral da P.A.
Fazendo!
Boa noite!
Bons estudos!
Julianasf1:
belíssima explicação! Obrigado mesmo!
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