A soma dos cinco termos da PG

[tex]\large \text {$S5 = 66.666$}[/tex]

                             [tex]\Large\text{$ Progress\tilde{a}o ~Geom\acute{e}trica $}[/tex]

Encontrar a razão da PG.

[tex]\large \text {$an = a1 ~. ~q^{n - 1} $}\\\\\large \text {$ 60000 = 6 ~. ~10^{5 - 1} $}\\\\\large \text {$60000= 6 ~. ~10^4 $}\\\\\large \text {$6q^4 = 6 ~. ~10000$}\\\\\\\large \text {$q^4 =\dfrac{60000}{6} $}\\\\\\\large \text {$ q^4 = 10000$}\\\\\large \text {$q = \sqrt[4]{10000} $}\\\\\large \text {$q = 10 $}[/tex]

Soma dos 5  termos da PG.

[tex]\large \text {$Sn = \dfrac{a1 ~\cdot~( q^n) }{q - 1} $}\\\\\\\large \text {$ S5 = \dfrac{6 ~\cdot~( 10^5) -1 }{10 - 1} $}\\\\\\\large \text {$ S5 = \dfrac{6 ~\cdot~( 100000- 1) }{9} $}\\\\\\\large \text {$ S5 = \dfrac{6 ~\cdot~( 99999) }{9} $}\\\\\\\large \text {$ S5 = \dfrac{ 599994}{9} $}\\\\\\\large \text {$S5 = 66666$}[/tex]

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