Tentukan banyaknya suku untuk setiap barisan geometri berikut ini. c.

Pertanyaan

Tentukan banyaknya suku untuk setiap barisan geometri berikut ini.

c. $begin mathsize 14px style 1 fourth comma space 1 over 12 comma space 1 over 36 comma space... comma space fraction numerator 1 over denominator 8.748 end fraction end style$

Pembahasan Soal:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row a equals cell 1 fourth end cell row r equals cell fraction numerator begin display style 1 over 12 end style over denominator begin display style 1 fourth end style end fraction equals 1 third end cell row cell U subscript n end cell equals cell fraction numerator 1 over denominator 8.748 end fraction end cell row blank blank blank row cell U subscript n end cell equals cell a times r to the power of n minus 1 end exponent end cell row cell fraction numerator 1 over denominator 8.748 end fraction end cell equals cell 1 fourth times open parentheses 1 third close parentheses to the power of n minus 1 end exponent end cell row cell open parentheses 1 third close parentheses to the power of n minus 1 end exponent end cell equals cell fraction numerator fraction numerator 1 over denominator 8.748 end fraction over denominator 1 fourth end fraction end cell row cell open parentheses 1 third close parentheses to the power of n minus 1 end exponent end cell equals cell fraction numerator 1 over denominator 2.187 end fraction end cell row cell open parentheses 1 third close parentheses to the power of n minus 1 end exponent end cell equals cell open parentheses 1 third close parentheses to the power of 7 end cell row cell n minus 1 end cell equals 7 row blank rightwards double arrow cell n equals 8 end cell end table end style$

Jadi, banyaknya suku barisan tersebut adalah 8.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

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