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Olá Letsilva,
![se~existem~5~meios~geometricos,~logo, ~possuimos~uma~P.G.~de\\
7~termos,~onde~a_1=9~e~a_7= \dfrac{1}{81}.~Aplicando~a~formula~do~termo\\\\
geral~da~P.G.,~podemos~achar~a~razao~(q),~e~ai~interpolarmos~os\\
cinco~meios:\\\\
a_n=a_1*q^{n-1}\\\\
\dfrac{1}{81}=9*q^{7-1}\\\\
q^6= \dfrac{1}{81}:9\\\\
q^6= \dfrac{1}{729}\\\\
q= \sqrt[6]{ \dfrac{1}{729} }\\\\
q=\dfrac{1}{3}](https://tex.z-dn.net/?f=se%7Eexistem%7E5%7Emeios%7Egeometricos%2C%7Elogo%2C+%7Epossuimos%7Euma%7EP.G.%7Ede%5C%5C%0A7%7Etermos%2C%7Eonde%7Ea_1%3D9%7Ee%7Ea_7%3D+%5Cdfrac%7B1%7D%7B81%7D.%7EAplicando%7Ea%7Eformula%7Edo%7Etermo%5C%5C%5C%5C%0Ageral%7Eda%7EP.G.%2C%7Epodemos%7Eachar%7Ea%7Erazao%7E%28q%29%2C%7Ee%7Eai%7Einterpolarmos%7Eos%5C%5C%0Acinco%7Emeios%3A%5C%5C%5C%5C%0Aa_n%3Da_1%2Aq%5E%7Bn-1%7D%5C%5C%5C%5C%0A+%5Cdfrac%7B1%7D%7B81%7D%3D9%2Aq%5E%7B7-1%7D%5C%5C%5C%5C%0A+q%5E6%3D+%5Cdfrac%7B1%7D%7B81%7D%3A9%5C%5C%5C%5C%0Aq%5E6%3D+%5Cdfrac%7B1%7D%7B729%7D%5C%5C%5C%5C%0Aq%3D+%5Csqrt%5B6%5D%7B+%5Cdfrac%7B1%7D%7B729%7D+%7D%5C%5C%5C%5C%0Aq%3D%5Cdfrac%7B1%7D%7B3%7D "se~existem~5~meios~geometricos,~logo, ~possuimos~uma~P.G.~de\\
7~termos,~onde~a_1=9~e~a_7= \dfrac{1}{81}.~Aplicando~a~formula~do~termo\\\\
geral~da~P.G.,~podemos~achar~a~razao~(q),~e~ai~interpolarmos~os\\
cinco~meios:\\\\
a_n=a_1*q^{n-1}\\\\
\dfrac{1}{81}=9*q^{7-1}\\\\
q^6= \dfrac{1}{81}:9\\\\
q^6= \dfrac{1}{729}\\\\
q= \sqrt[6]{ \dfrac{1}{729} }\\\\
q=\dfrac{1}{3}")
Achada a razão (q), podemos interpolar os cinco meios, multiplicando a razão à partir do 1º termo:
Espero ter ajudado e tenha ótimos estudos =))
Achada a razão (q), podemos interpolar os cinco meios, multiplicando a razão à partir do 1º termo:
Espero ter ajudado e tenha ótimos estudos =))
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