Jumlah deret tak hingga dari 5+415+1645+64135+... adalah ....

Pertanyaan

$\mathrm{Jumlah}\;\mathrm{deret}\;\mathrm{tak}\;\mathrm{hingga}\;\mathrm{dari}\;5+\frac{15}4+\frac{45}{16}+\frac{135}{64}+...\;\mathrm{adalah}\;....$

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$Rumus space deret space Geometri space tak space hingga S subscript infinity equals fraction numerator a over denominator 1 minus r end fraction comma vertical line r vertical line less than 1 Diketahui space straight a equals 5 space dan space straight r equals fraction numerator begin display style bevelled 15 over 4 end style over denominator 5 end fraction equals 15 over 4 cross times 1 fifth equals 3 over 4 S subscript infinity equals fraction numerator 5 over denominator 1 minus begin display style 3 over 4 end style end fraction S subscript infinity equals fraction numerator 5 over denominator begin display style 1 fourth end style end fraction S subscript infinity equals 20$

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