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a = U1 = 25
U4 = 200
ar^3 = 200
ar^3 = 200
-----------------
a = 25
r^3 = 8
r = 2
S4 = a(r^n - 1) / (r - 1)
S4 = 25( (2^4) - 1) / (2-1)
S4 = 25 ( 16 - 1) / 1
S4 = 25 × 15
S4 = 375 cm
jadi panjangn tali mula mula 375 cm
maaf ya kalau salah.
U4 (potongan terpanjang)= 200
U1/U4 = a.r^0/a.r³
25/200 = 25.1/25.r³
25/200 = 1/r³
1/8 = 1/r³
r³= 8
r = ∛8
r = 2
panjang tali mula-mula (S4)
S4 = a(r^n-1) : r-1
S4 = 25(2^4-1) : 2-1
S4 = 25(16-1) : 1
S4 = 25 x 15
S4 = 375 cm