Calcule a razao da Pa de 10 termos onde o primeiro e -2 e o ultimo e 43?
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Boa noite!
Solução!
![an=43\\\\\
a1=-2\\\\\\
n=10\\\\\
r=?\\\\\\\
Formula~~da~~P.A\\\\\\
an=a1+(n-1).r\\\\\\
43=-2+(10-1).r\\\\
43=-2+(9).r\\\\\
43=-2+9r\\\\\
43+2=9r\\\\\\
45=9r\\\\\
r= \dfrac{45}{9}\\\\\
r=5\\\\\\\
\boxed{Resposta:r=5}](https://tex.z-dn.net/?f=an%3D43%5C%5C%5C%5C%5C%0Aa1%3D-2%5C%5C%5C%5C%5C%5C%0An%3D10%5C%5C%5C%5C%5C%0Ar%3D%3F%5C%5C%5C%5C%5C%5C%5C%0AFormula%7E%7Eda%7E%7EP.A%5C%5C%5C%5C%5C%5C%0Aan%3Da1%2B%28n-1%29.r%5C%5C%5C%5C%5C%5C%0A43%3D-2%2B%2810-1%29.r%5C%5C%5C%5C%0A43%3D-2%2B%289%29.r%5C%5C%5C%5C%5C%0A43%3D-2%2B9r%5C%5C%5C%5C%5C%0A43%2B2%3D9r%5C%5C%5C%5C%5C%5C%0A45%3D9r%5C%5C%5C%5C%5C%0Ar%3D+%5Cdfrac%7B45%7D%7B9%7D%5C%5C%5C%5C%5C%0Ar%3D5%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3Ar%3D5%7D+ "an=43\\\\\
a1=-2\\\\\\
n=10\\\\\
r=?\\\\\\\
Formula~~da~~P.A\\\\\\
an=a1+(n-1).r\\\\\\
43=-2+(10-1).r\\\\
43=-2+(9).r\\\\\
43=-2+9r\\\\\
43+2=9r\\\\\\
45=9r\\\\\
r= \dfrac{45}{9}\\\\\
r=5\\\\\\\
\boxed{Resposta:r=5}")
Boa noite!
Bons estudos!
Solução!
Boa noite!
Bons estudos!
Respondido por
0
n (número de termos) = 10
a1 (primeiro termo) = - 2
an (último termo) = 43
r (razão ) = ?
an= a1 + (n - 1) • r
43= - 2 + (10 - 1)r
43 + 2= 9r
45= 9r
r= 45/9
r= 5
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