determine o 31° termo da PG (4,6,9...)
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Boa tarde Cristina!
Solução!
Dados do problema!
![a1=4\\\\
a2=6\\\\
n=31\\\\
a31=?\\\\\
q= \dfrac{a2}{a1}\\\\\\\
q= \frac{6}{4}\\\\\\\
q= \dfrac{3}{2}](https://tex.z-dn.net/?f=a1%3D4%5C%5C%5C%5C%0Aa2%3D6%5C%5C%5C%5C%0An%3D31%5C%5C%5C%5C%0Aa31%3D%3F%5C%5C%5C%5C%5C%0A%0Aq%3D+%5Cdfrac%7Ba2%7D%7Ba1%7D%5C%5C%5C%5C%5C%5C%5C%0Aq%3D+%5Cfrac%7B6%7D%7B4%7D%5C%5C%5C%5C%5C%5C%5C%0Aq%3D+%5Cdfrac%7B3%7D%7B2%7D%0A%0A+++ "a1=4\\\\
a2=6\\\\
n=31\\\\
a31=?\\\\\
q= \dfrac{a2}{a1}\\\\\\\
q= \frac{6}{4}\\\\\\\
q= \dfrac{3}{2}")
Formula da P.G!
![a31=a1.q^{n-1} \\\\\
a31=4. (\frac{3}{2})^{31-1}\\\\\\
a31=4. (\frac{3}{2})^{30}\\\\\\
a31=4.(191751,0592)\\\\\
a31=767004,2368](https://tex.z-dn.net/?f=a31%3Da1.q%5E%7Bn-1%7D+%5C%5C%5C%5C%5C%0Aa31%3D4.+%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7B31-1%7D%5C%5C%5C%5C%5C%5C%0Aa31%3D4.+%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7B30%7D%5C%5C%5C%5C%5C%5C%0Aa31%3D4.%28191751%2C0592%29%5C%5C%5C%5C%5C%0Aa31%3D767004%2C2368%0A "a31=a1.q^{n-1} \\\\\
a31=4. (\frac{3}{2})^{31-1}\\\\\\
a31=4. (\frac{3}{2})^{30}\\\\\\
a31=4.(191751,0592)\\\\\
a31=767004,2368")
Boa tarde!
Bons estudos!
Solução!
Dados do problema!
Formula da P.G!
Boa tarde!
Bons estudos!
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