calcule o numero de termos de uma p.a sabendo que a1 é igual a -14, an=19 e r=3
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Solução!
![a1=-14\\\\
an=19\\\\
r=3\\\\\
n=?](https://tex.z-dn.net/?f=a1%3D-14%5C%5C%5C%5C%0Aan%3D19%5C%5C%5C%5C%0Ar%3D3%5C%5C%5C%5C%5C%0An%3D%3F "a1=-14\\\\
an=19\\\\
r=3\\\\\
n=?")
![an=a1+(n-1).r\\\\\
19=-14+(n-1).3\\\\\
19=-14+3n-3\\\\\
19=-17+3n\\\\\
19+17=3n\\\\\
36=3n\\\\\
n= \dfrac{36}{3}\\\\\\
n=12](https://tex.z-dn.net/?f=an%3Da1%2B%28n-1%29.r%5C%5C%5C%5C%5C%0A19%3D-14%2B%28n-1%29.3%5C%5C%5C%5C%5C%0A19%3D-14%2B3n-3%5C%5C%5C%5C%5C%0A19%3D-17%2B3n%5C%5C%5C%5C%5C%0A19%2B17%3D3n%5C%5C%5C%5C%5C%0A36%3D3n%5C%5C%5C%5C%5C%0An%3D+%5Cdfrac%7B36%7D%7B3%7D%5C%5C%5C%5C%5C%5C%0An%3D12+ "an=a1+(n-1).r\\\\\
19=-14+(n-1).3\\\\\
19=-14+3n-3\\\\\
19=-17+3n\\\\\
19+17=3n\\\\\
36=3n\\\\\
n= \dfrac{36}{3}\\\\\\
n=12")
Resposta: A P.A tem 12 termos.
Bom dia!
Bons estudos!
Solução!
Resposta: A P.A tem 12 termos.
Bom dia!
Bons estudos!
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