Pertanyaan

3 4 , 9 8 , 27 28 , ... Jumlah 10 suku pertama dari barisan di atas adalah ...

$\frac{4}{3}, \frac{8}{9}, \frac{28}{27}, ...$

Jumlah 10 suku pertama dari barisan di atas adalah ...

$begin mathsize 14px style 10 plus fraction numerator open parentheses 1 minus 3 to the power of negative 10 end exponent close parentheses over denominator 4 end fraction end style$
$size 14px 10 size 14px plus fraction numerator begin mathsize 14px style left parenthesis 1 minus 3 to the power of negative 10 end exponent right parenthesis end style over denominator size 14px 2 end fraction$
$size 14px 10 size 14px plus fraction numerator begin mathsize 14px style left parenthesis 1 minus 3 to the power of 10 right parenthesis end style over denominator size 14px 4 end fraction$
$size 14px 10 size 14px plus fraction numerator begin mathsize 14px style left parenthesis 1 minus 3 to the power of 10 right parenthesis end style over denominator size 14px 2 end fraction$
$size 14px 10 size 14px plus fraction numerator size 14px 3 begin mathsize 14px style left parenthesis 1 minus 3 to the power of 10 right parenthesis end style over denominator size 14px 4 end fraction$

M. Robo

Master Teacher

Jawaban terverifikasi

Pembahasan

Sehingga Maka jumlah 10 suku pertama dari barisan di atas adalah .

Sehingga

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight S subscript 10 end cell equals cell 1 plus 1 plus... plus 1 plus 1 third minus 1 over 9 plus 1 over 27 minus... end cell row blank equals cell 10 plus fraction numerator begin display style 1 third open parentheses 1 minus open parentheses negative 1 third close parentheses to the power of 10 close parentheses end style over denominator 1 minus open parentheses negative begin display style 1 third end style close parentheses end fraction end cell row blank equals cell 10 plus fraction numerator begin display style 1 third open parentheses 1 minus open parentheses negative 1 third close parentheses to the power of 10 close parentheses end style over denominator begin display style 4 over 3 end style end fraction end cell row blank equals cell 10 plus fraction numerator open parentheses 1 minus 3 to the power of negative 10 end exponent close parentheses over denominator 4 end fraction end cell end table end style$

Maka jumlah 10 suku pertama dari barisan di atas adalah .