Determine a p.g em que o a1 =2e a6 =486
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Bom dia Daiane!
Solução!
![Dados!\\\\\\
a1=2\\\\\
a6=246\\\\\\
n=6\\\\\
q=?](https://tex.z-dn.net/?f=Dados%21%5C%5C%5C%5C%5C%5C%0Aa1%3D2%5C%5C%5C%5C%5C%0Aa6%3D246%5C%5C%5C%5C%5C%5C%0An%3D6%5C%5C%5C%5C%5C%0Aq%3D%3F "Dados!\\\\\\
a1=2\\\\\
a6=246\\\\\\
n=6\\\\\
q=?")
![Formula!\\\\\
a6=a1.q^{n-1}\\\\\
486=2.q^{(6-1)}\\\\\\
486=2.q^{5}\\\\\\
\dfrac{486}{2}=q^{5}\\\\\\
243= =q^{5}](https://tex.z-dn.net/?f=Formula%21%5C%5C%5C%5C%5C%0Aa6%3Da1.q%5E%7Bn-1%7D%5C%5C%5C%5C%5C%0A486%3D2.q%5E%7B%286-1%29%7D%5C%5C%5C%5C%5C%5C%0A486%3D2.q%5E%7B5%7D%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B486%7D%7B2%7D%3Dq%5E%7B5%7D%5C%5C%5C%5C%5C%5C%0A243%3D+%3Dq%5E%7B5%7D+++ "Formula!\\\\\
a6=a1.q^{n-1}\\\\\
486=2.q^{(6-1)}\\\\\\
486=2.q^{5}\\\\\\
\dfrac{486}{2}=q^{5}\\\\\\
243= =q^{5}")
![q= \sqrt[5]{243}\\\\\\
q= \sqrt[5]{3^{5} }\\\\\\
\boxed{q=3}](https://tex.z-dn.net/?f=q%3D++%5Csqrt%5B5%5D%7B243%7D%5C%5C%5C%5C%5C%5C%0Aq%3D++%5Csqrt%5B5%5D%7B3%5E%7B5%7D+%7D%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7Bq%3D3%7D "q= \sqrt[5]{243}\\\\\\
q= \sqrt[5]{3^{5} }\\\\\\
\boxed{q=3}")
Para determinar a P.G vamos fazer assim:
![a1=2\\\\\
a2=q.a1\\\\
a3=q.a2\\\\\
a4=q.a3\\\\\
a5=q.a4\\\\\
a6=q.a5](https://tex.z-dn.net/?f=a1%3D2%5C%5C%5C%5C%5C%0Aa2%3Dq.a1%5C%5C%5C%5C%0Aa3%3Dq.a2%5C%5C%5C%5C%5C%0Aa4%3Dq.a3%5C%5C%5C%5C%5C%0Aa5%3Dq.a4%5C%5C%5C%5C%5C%0Aa6%3Dq.a5 "a1=2\\\\\
a2=q.a1\\\\
a3=q.a2\\\\\
a4=q.a3\\\\\
a5=q.a4\\\\\
a6=q.a5")
Bom dia!
Bons estudos!
Solução!
Para determinar a P.G vamos fazer assim:
Bom dia!
Bons estudos!
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