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18 Oktober 2025 00:00
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Nasywanisr N
18 Oktober 2025 00:00
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MR
Muhammad R
18 Oktober 2025 00:42
<p>a. Nilai rasio</p><p>U<sub>8</sub> = ar<sup>7</sup> = 1</p><p>U<sub>4</sub> = ar<sup>3</sup> = 27</p><p>ar<sup>7</sup> / ar<sup>3 </sup>= 1 / 27</p><p>r<sup>4</sup> = (1 / 27)</p><p>r = (1 / 27)<sup>1/4</sup> = 3<sup>-3/4</sup></p><p>b. Panjang potongan pertama (a)</p><p>ar<sup>3</sup> = 27</p><p>a(3<sup>-3/4</sup>)<sup>3</sup> = 27</p><p>a(3<sup>-9/4</sup>) = 3<sup>3</sup></p><p>a = 3<sup>3</sup> / (3<sup>-9/4</sup>)</p><p>a = 3<sup>21/4</sup></p><p>c. Jumlah seluruh panjang kabel (S<sub>n</sub>)</p><p>S<sub>8</sub> = a(1-r<sup>8</sup>) / (1-r) </p><p>= 3<sup>21/4</sup>(1-(3<sup>-3/4</sup>)<sup>8</sup>) / (1-(3<sup>-3/4</sup>))</p><p>= 3<sup>21/4</sup>(1-(3<sup>-6</sup>) / (1-(3<sup>-3/4</sup>))</p><p>= [(3<sup>21/4</sup>)-3<sup>-3/4</sup> ] / (1-(3<sup>-3/4</sup>)) cm</p>
a. Nilai rasio
U8 = ar7 = 1
U4 = ar3 = 27
ar7 / ar3 = 1 / 27
r4 = (1 / 27)
r = (1 / 27)1/4 = 3-3/4
b. Panjang potongan pertama (a)
ar3 = 27
a(3-3/4)3 = 27
a(3-9/4) = 33
a = 33 / (3-9/4)
a = 321/4
c. Jumlah seluruh panjang kabel (Sn)
S8 = a(1-r8) / (1-r)
= 321/4(1-(3-3/4)8) / (1-(3-3/4))
= 321/4(1-(3-6) / (1-(3-3/4))
= [(321/4)-3-3/4 ] / (1-(3-3/4)) cm
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