Tentukan nilai p= 1/3 + 1/9 + 1/27 + 1/81 + ... ???
Matematika
Timothy9
Pertanyaan
Tentukan nilai
p= 1/3 + 1/9 + 1/27 + 1/81 + ... ???
p= 1/3 + 1/9 + 1/27 + 1/81 + ... ???
1 Jawaban
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1. Jawaban kautsarmus
a=1/3
r=1/9:1/3=1/9×3=1/3
S∞=a : (1-r)
S∞=1/3 : (3/3-1/3)
S∞=1/3 : 2/3
S∞=1/3 × 3/2
S∞=3/6
S∞=1/2
jadi p= 1/3 + 1/9 + 1/27 + 1/81 + ... =½