buktikan bahwa 1/11+1/121+1/1.331+1/13.641+......=1/10
Matematika
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Pertanyaan
buktikan bahwa 1/11+1/121+1/1.331+1/13.641+......=1/10
1 Jawaban
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1. Jawaban kautsarmus
1/11+1/121+1/1.331+1/13.641+......
a=1/11
r=1/121 ÷ 1/11=1/121x11=11/121=1/11
Jumlah tak hingga (S∞)
=a ÷ (1-r)
=1/11 ÷ (1 - 1/11)
=1/11 ÷ (11/11 - 1/11)
=1/11 ÷ 10/11
=1/11 x 11/10
=1/10
terbukti
1/11+1/121+1/1.331+1/13.641+......=1/10