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Hhunglah JumlahDeret geometi di bauah ini 27 − 9 + 3 − ... sampai 10suku!

Hhunglah Jumlah Deret geometi di bauah ini
$27 - 9 + 3 - ...$ sampai 10 suku!

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Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style r equals fraction numerator U subscript 2 over denominator U 1 end fraction equals fraction numerator negative 9 over denominator 27 end fraction equals negative 1 third a equals 27 S subscript n equals fraction numerator a open parentheses 1 minus r to the power of n close parentheses over denominator 1 minus r end fraction S subscript 10 equals fraction numerator 27 open parentheses 1 minus open parentheses negative begin display style 1 third end style close parentheses to the power of 10 close parentheses over denominator 1 minus open parentheses negative begin display style 1 third end style close parentheses end fraction space space space space equals 27 open parentheses fraction numerator 59049 minus 1 over denominator 59049 end fraction close parentheses open parentheses 3 over 4 close parentheses space space space space equals 14762 over 729 space space space space equals 20 182 over 729 end style$